{"id":28471,"date":"2023-05-03T16:55:49","date_gmt":"2023-05-03T16:55:49","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=28471"},"modified":"2024-02-05T15:34:55","modified_gmt":"2024-02-05T15:34:55","slug":"corresponding-sides-definition-solved-examples-facts-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/corresponding-sides","title":{"rendered":"Corresponding Sides &#8211; Definition, Solved Examples, Facts, FAQs"},"content":{"rendered":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-1590292c-2391-4167-b099-a164a5d22420\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/corresponding-sides#0-what-are-corresponding-sides-in-geometry>What Are Corresponding Sides in Geometry?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/corresponding-sides#2-how-to-find-corresponding-sides>How to Find Corresponding Sides<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/corresponding-sides#3-difference-between-congruent-triangles-and-similar-triangles>Difference between Congruent Triangles and Similar Triangles<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/corresponding-sides#8-solved-examples-on-corresponding-sides>Solved Examples on Corresponding Sides<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/corresponding-sides#9-practice-problems-on-corresponding-sides>Practice Problems on Corresponding Sides<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/corresponding-sides#10-frequently-asked-questions-on-corresponding-sides>Frequently Asked Questions on Corresponding Sides<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-are-corresponding-sides-in-geometry\">What Are Corresponding Sides in Geometry?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Corresponding sides are the pair of matching sides that are placed at the same spot in two different shapes.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Corresponding sides and corresponding angles are compared to study similarity and congruence.<strong> <\/strong>Corresponding parts are the parts that appear in identical places in two similar shapes. Then, what does the term \u201ccorresponding sides\u201d mean in math? Corresponding sides are a pair of matching sides that are in the same spot in two different shapes. The two different shapes must be either congruent or similar.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">In geometry, finding the congruence and similarity involves comparing corresponding sides and corresponding angles of the polygons. Let us learn more about corresponding sides.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example:<\/strong> Consider two congruent triangles shown in the image below. The corresponding sides are shown in the same color.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"500\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/corresponding-sides-of-a-triangle.png\" alt=\"corresponding sides of a triangle.\" class=\"wp-image-35794\" title=\"corresponding sides of a triangle.\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/corresponding-sides-of-a-triangle.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/corresponding-sides-of-a-triangle-300x242.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">When two triangles are congruent, their corresponding sides and corresponding angles are also congruent.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">When two triangles are similar, their corresponding sides are in proportion, and corresponding angles are congruent.<\/p>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/count-pairs-of-parallel-sides-in-shapes-and-choose-the-correct-answer\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_count_parallel_2d_shape_pt.png\" alt=\"Count Pairs of Parallel Sides in Shapes and Choose the Correct Answer Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Count Pairs of Parallel Sides in Shapes and Choose the Correct Answer Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/count-sides-and-corners\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_count_sides_corners2_pt.png\" alt=\"Count Sides and Corners Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Count Sides and Corners Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/count-sides-and-vertices-in-a-shape\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_count_sides_vertices_pt.png\" alt=\"Count Sides and Vertices in a Shape Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Count Sides and Vertices in a Shape Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/count-the-sides\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_count_sides_corners1_pt.png\" alt=\"Count the Sides Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Count the Sides Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/counting-sides-of-shapes\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_how_many_sides_pt.png\" alt=\"Counting Sides of Shapes Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Counting Sides of Shapes Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/determine-sides-and-vertices\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_identify_sides_vertices_pt.png\" alt=\"Determine Sides and Vertices Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Determine Sides and Vertices Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-parallel-sides\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_identify_parallel_sides_1_pt.png\" alt=\"Find Parallel Sides Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find Parallel Sides Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/identify-parallel-sides\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_identify_parallel_sides_2_pt.png\" alt=\"Identify Parallel Sides Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Identify Parallel Sides Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/identify-parallel-sides-in-shapes\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_identify_parallel_2d_shape_pt.png\" alt=\"Identify Parallel Sides in Shapes Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Identify Parallel Sides in Shapes Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/identify-the-shape-which-has-at-least-one-pair-of-parallel-sides\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_parallel_side_2d_shape_1_pt.png\" alt=\"Identify the Shape Which has At Least One Pair of Parallel Sides Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Identify the Shape Which has At Least One Pair of Parallel Sides Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-corresponding-sides-definition\">Corresponding Sides: Definition<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Corresponding sides are the sides that are in the same position in two different shapes or polygons.<\/strong><\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">If the two polygons are congruent, they have the same shape and size. The corresponding sides &amp; the corresponding angles are congruent.<\/li>\n<\/ul>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">When the two polygons are similar, the polygons have the same shape but different size. The corresponding angles are congruent and the corresponding sides are proportional.<\/li>\n<\/ul>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/count-sides-and-angles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/count-sides-and-angles.jpeg\" alt=\"Count Sides and Angles Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/how-many-corners-and-sides\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/how-many-corners-and-sides.jpeg\" alt=\"How Many Corners and Sides Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/number-of-sides-and-corners\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/number-of-sides-and-corners.jpeg\" alt=\"Number of Sides and Corners Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-how-to-find-corresponding-sides\">How to Find Corresponding Sides<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">If you superimpose two shapes, the sides that overlap on each other will be corresponding sides. Corresponding sides touch the same two angle pairs of two figures. Also, the angles formed by two corresponding sides are corresponding angles.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Note that rotating the similar or congruent shapes does not change the corresponding sides (or angles). It only becomes a little tricky for us to identify the correspondence.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">When we mention the congruence or similarity of two triangles, we maintain the order of the corresponding sides and angles while writing. It is because that\u2019s how we identify the corresponding sides or angles that are congruent.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">If we say that $\\Delta LMN$ is similar to $\\Delta XYZ$, we can easily identify the corresponding sides and corresponding angles using the given order.<\/p>\n\n\n\n<table class=\"wj-html-table\">\n  <tr class=\"wj-html-tr\">\n    <th>Triangles<\/th>\n    <th>Corresponding Sides<\/th>\n    <th colspan=\"5\">Corresponding Angles<\/th>\n  <\/tr>\n  <tr>\n    <td>$\\Delta LMN$<\/td>\n    <td>LM<\/td>\n    <td>MN<\/td>\n    <td>LN<\/td>\n    <td>$\\angle L$<\/td>\n    <td>$\\angle M$<\/td>\n    <td>$\\angle N$<\/td>\n  <\/tr>\n  <tr>\n    <td>$\\Delta XYZ$<\/td>\n    <td>XY<\/td>\n    <td>YZ<\/td>\n    <td>XY<\/td>\n    <td>$\\angle X$<\/td>\n    <td>$\\angle Y$<\/td>\n    <td>$\\angle Z$<\/td>\n  <\/tr>\n <\/table>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 1: <\/strong>The corresponding sides of two triangles are shown in the same color.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"464\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/corresponding-sides-of-a-triangle-.png\" alt=\"corresponding sides of a triangle.\" class=\"wp-image-35795\" title=\"corresponding sides of a triangle.\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/corresponding-sides-of-a-triangle-.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/corresponding-sides-of-a-triangle--300x225.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Side PQ corresponds to the side LM.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Side QR corresponds to the side MN.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Side PR corresponds to the side LN.<\/p>\n\n\n\n<table class=\"wj-html-table\">\n  <tr class=\"wj-html-tr\">\n    <th>Triangles<\/th>\n    <th colspan=\"4\">Corresponding Sides<\/th>\n  <\/tr>\n  <tr>\n    <td>$\\Delta LMN$ <\/td>\n    <td>LM <\/td>\n    <td>MN<\/td>\n    <td>LN<\/td>\n  <\/tr>\n  <tr>\n    <td>$\\Delta PQR$<\/td>\n    <td>PQ<\/td>\n    <td>QR<\/td>\n    <td>PR<\/td>\n  <\/tr>\n<\/table>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 2:<\/strong> Consider two polygons.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"391\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/corresponding-sides-of-a-polygon.png\" alt=\"corresponding sides of a polygon\" class=\"wp-image-35796\" title=\"corresponding sides of a polygon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/corresponding-sides-of-a-polygon.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/corresponding-sides-of-a-polygon-300x189.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">$\\overline {AB}$ corresponds with $\\overline {EF}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\overline {BC}$ corresponds with $\\overline {FG}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\overline {CD}$ corresponds with $\\overline {GH}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\overline {AD}$ corresponds with $\\overline {EH}$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-difference-between-congruent-triangles-and-similar-triangles\">Difference between Congruent Triangles and Similar Triangles<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Let\u2019s first learn about congruent triangles and similar triangles.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Congruent Triangles<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Congruent triangles are two triangles that have the same shape and same size. In two congruent triangles, the corresponding angles are equal and the corresponding sides are also equal.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Take a look at the diagram given below.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">In $\\Delta ABC$ and $\\Delta EFG$,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$AB = EF,\\; BC = FG,\\; AC = EG$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\angle A = \\angle E,\\; \\angle B = \\angle F,\\; \\angle C = \\angle G$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, $\\Delta ABC$ is congruent to $\\Delta EFG$.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"293\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/corresponding-sides-in-congruent-triangles-ABC-and-EFG.png\" alt=\"corresponding sides in congruent triangles ABC and EFG\" class=\"wp-image-35797\" title=\"corresponding sides in congruent triangles ABC and EFG\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/corresponding-sides-in-congruent-triangles-ABC-and-EFG.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/corresponding-sides-in-congruent-triangles-ABC-and-EFG-300x142.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Similar Triangles<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Similar triangles are two triangles that have the same shape but are not the same size. In two similar triangles, the corresponding angles are equal and the corresponding sides have the same ratio. Take a look at the image given below:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"429\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/similar-triangles-ABC-and-PQR.png\" alt=\"similar triangles ABC and PQR\" class=\"wp-image-35798\" title=\"similar triangles ABC and PQR\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/similar-triangles-ABC-and-PQR.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/similar-triangles-ABC-and-PQR-300x208.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">In $\\Delta ABC$ and&nbsp; $\\Delta PQR$,&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{AB}{PQ} = \\frac{BC}{QR} = \\frac{AC}{PR}$ &nbsp; (Corresponding sides are in proportion.)<\/p>\n\n\n\n<p class=\"eplus-wrapper\">and&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\angle A&nbsp; = \\angle P,\\;&nbsp; \\angle B =&nbsp; \\angle Q,\\;&nbsp; \\angle C =&nbsp; \\angle R$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, $\\Delta ABC$ is similar to $\\Delta PQR$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Now, let&#8217;s take a look at the difference between congruent and similar triangles.<\/p>\n\n\n\n<figure class=\"wp-block-table wj-custom-table eplus-wrapper\"><table class=\"wj-table-class\"><thead><tr><th><strong>Congruent Triangles<\/strong><\/th><th><strong>Similar Triangles<\/strong><\/th><\/tr><\/thead><tbody><tr><td>They have the same shape and size.<\/td><td>They have the same shape but are not necessarily the same size.<\/td><\/tr><tr><td>Corresponding sides are congruent.<\/td><td>Corresponding sides are in proportion.<\/td><\/tr><tr><td>Corresponding angles are congruent.<\/td><td>Corresponding angles are congruent.<\/td><\/tr><tr><td>They are identical to each other.<\/td><td>They are resized versions of each other.<\/td><\/tr><tr><td>All congruent triangles are similar.<\/td><td>All similar triangles need not be congruent.<\/td><\/tr><tr><td>Symbol: $\\cong$<\/td><td>Symbol: $\\sim$<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-corresponding-sides-in-similar-triangles\">Corresponding Sides in Similar Triangles<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">When two triangles are similar, they have the same shape but differ in size. Now, the question is: Are corresponding sides equal? The corresponding sides are equal in the case of congruent triangles. The corresponding sides of two similar triangles are always in \u201cproportion.\u201d The common ratio of the corresponding sides of two similar figures is called the scale factor.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Consider the similar triangles XYZ and PQR.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, $\\angle X\\; \\cong\\; \\angle P,\\; \\angle Y\\; \\cong \\;\\angle Q,\\; \\angle Z \\; \\cong \\;\\angle R$<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">XY and PQ are corresponding sides.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">XZ and PR are corresponding sides.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">YZ and QR are corresponding sides.&nbsp;<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"317\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/congruent-triangles-XYZ-and-PQR.png\" alt=\"Congruent triangles XYZ and PQR\" class=\"wp-image-35799\" title=\"Congruent triangles XYZ and PQR\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/congruent-triangles-XYZ-and-PQR.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/congruent-triangles-XYZ-and-PQR-300x153.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-corresponding-sides-in-right-triangles\">Corresponding Sides in Right Triangles<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Two right triangles are similar if the hypotenuse and one of the legs are proportional to their corresponding sides in the other right triangle. This is known as HL theorem (Hypotenuse-Leg Theorem). Consider the two right triangles ABC and DEF in the image given below. Their corresponding sides are shown in the same color.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"292\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/corresponding-sides-in-right-triangles.png\" alt=\"corresponding sides in right triangles\" class=\"wp-image-35800\" title=\"corresponding sides in right triangles\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/corresponding-sides-in-right-triangles.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/corresponding-sides-in-right-triangles-300x141.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">In the given two right triangles, the hypotenuse and one leg is congruent with the hypotenuse and leg of the other right triangle. Therefore, the two right triangles are similar, and their corresponding sides are proportional.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-facts-about-corresponding-sides\">Facts about Corresponding Sides<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Corresponding sides are a pair of matching sides that are in the same spot in two different shapes.<\/li>\n<\/ul>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">When two triangles are similar, the ratios of the lengths of their corresponding sides are equal.<\/li>\n<\/ul>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Two triangles are considered to be congruent if all their corresponding angles and sides are equal.<\/li>\n<\/ul>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">If a polygon is congruent, it is also similar but a similar polygon need not be congruent.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">In this article, we learned about the corresponding sides of similar triangles and right triangles. Let\u2019s solve some examples based on corresponding sides for better understanding.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-solved-examples-on-corresponding-sides\">Solved Examples on Corresponding Sides<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>1.&nbsp; Observe the similar triangles given below. What are the 3 pairs of corresponding sides?&nbsp;<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"359\" height=\"120\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/similar-triangles.png\" alt=\"similar triangles\" class=\"wp-image-35791\" title=\"similar triangles\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/similar-triangles.png 359w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/similar-triangles-300x100.png 300w\" sizes=\"auto, (max-width: 359px) 100vw, 359px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">The triangles $\\Delta ABC$ and $\\Delta DEF$ are similar.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The side AB corresponds to the side DE.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The side BC corresponds to the side EF.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The side AC corresponds to the side DF.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>2. Given that the quadrilateral ABCD is similar to<\/strong><strong> <\/strong><strong>quadrilateral&nbsp; <\/strong><strong>EFGH, which side corresponds to <\/strong><strong>the side EH?&nbsp;<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"355\" height=\"159\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/similar-quadrilaterals-ABCD-and-EFGH.png\" alt=\"similar quadrilaterals ABCD and EFGH\" class=\"wp-image-35792\" title=\"similar quadrilaterals ABCD and EFGH\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/similar-quadrilaterals-ABCD-and-EFGH.png 355w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/similar-quadrilaterals-ABCD-and-EFGH-300x134.png 300w\" sizes=\"auto, (max-width: 355px) 100vw, 355px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:&nbsp;&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Quadrilateral ABCD is similar to quadrilateral&nbsp; EFGH.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Maintaining the order of vertices, we can identify that the side in ABCD corresponding to the side EH in EFGH is side AD.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">AB corresponds to EF.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">BC corresponds to FG.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">CD corresponds to GH.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">AD corresponds to EH.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>4. <\/strong>$\\Delta UVW \\;\\sim\\; \\Delta XYZ$<strong>. IF <\/strong>$UV = 3,\\; VW = 4,\\; UW = 5$<strong> and <\/strong>$XY = 12$<strong>. Find <\/strong>$XZ$<strong> and <\/strong>$YZ$<strong>.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"286\" height=\"236\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/UVW-XYZ.png\" alt=\"UVW XYZ\" class=\"wp-image-35793\" title=\"UVW XYZ\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">We know that $\\Delta UVW\\; \\sim \\;\\Delta XYZ$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus,&nbsp; $\\frac{UV}{XY} = \\frac{UW}{XZ} = \\frac{VW}{Yz}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{3}{12} = \\frac{5}{XZ} = \\frac{4}{YZ}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, solving the equations, we get<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$XZ = UW \\times 4 = 20$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$YZ = VW \\times 4 = 16$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Therefore, $XZ = 20$ and $YZ = 16$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"9-practice-problems-on-corresponding-sides\">Practice Problems on Corresponding Sides<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Corresponding Sides - Definition, Solved Examples, Facts, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowedge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">In similar triangles, the corresponding sides _________.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">are equal.<\/div><div class=\"spq_answer_block\" data-value=\"1\">have the same ratio.<\/div><div class=\"spq_answer_block\" data-value=\"2\">Both a and b<\/div><div class=\"spq_answer_block\" data-value=\"3\">None of the above.<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: have the same ratio.<br\/>Similar triangles are two triangles that have the same shape but not of the same size. In two similar triangles, the corresponding angles are equal and the corresponding sides have the same ratio.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Which is the correct congruence statement?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\Delta LNM\\;\\cong\\;\\Delta PQR$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\Delta NLM\\;\\cong \\;\\Delta RQP$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\Delta LMN\\;\\cong\\;\\Delta PQR$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\Delta MLN\\;\\cong\\;\\Delta PRQ$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $\\Delta LNM\\;\\cong\\;\\Delta PQR$<br\/>Corresponding sides: $LM = PR,\\; LN = PQ$, and $MN = QR$<br> \r\nCorresponding angles: $\\angle L = \\angle P,\\; \\angle N = \\angle Q,\\; \\angle M = \\angle R$<br>\r\nThus, $\\Delta LNM\\;\\cong\\;\\Delta PQR$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">$\\Delta UVW\\;\\sim\\;\\Delta UEC$. Name the corresponding side of VW.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">UE<\/div><div class=\"spq_answer_block\" data-value=\"1\">UC<\/div><div class=\"spq_answer_block\" data-value=\"2\">EC<\/div><div class=\"spq_answer_block\" data-value=\"3\">None of the above<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: EC<br\/>$\\Delta UVW$ and $\\Delta UEC,\\; UV$ corresponds to UE, VW corresponds to EC and UW corresponds to UC.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">$\\Delta ABC\\;\\cong\\;\\Delta PQR$ such that $m\\angle A = 65^\\circ$. What is $m\\angle P$?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$65^\\circ$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$55^\\circ$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$90^\\circ$<\/div><div class=\"spq_answer_block\" data-value=\"3\">None of the above<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $65^\\circ$<br\/>If two triangles are congruent, the corresponding angles and sides are congruent.<br>\r\n$\\angle P$ corresponds to $\\angle A$.<br>\r\nThus, in $\\Delta ABC$ and $\\Delta PQR,\\; \\angle A = \\angle P = 65^\\circ$.<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowedge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Corresponding Sides - Definition, Solved Examples, Facts, FAQs\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Corresponding Sides\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"In similar triangles, the corresponding sides _________.\",\n                    \"text\": \"In similar triangles, the corresponding sides _________.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Similar triangles are two triangles that have the same shape but not of the same size. In two similar triangles, the corresponding angles are equal and the corresponding sides have the same ratio.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"are equal.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Similar triangles are two triangles that have the same shape but not of the same size. In two similar triangles, the corresponding angles are equal and the corresponding sides have the same ratio.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Both a and b\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Similar triangles are two triangles that have the same shape but not of the same size. In two similar triangles, the corresponding angles are equal and the corresponding sides have the same ratio.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"None of the above.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Similar triangles are two triangles that have the same shape but not of the same size. In two similar triangles, the corresponding angles are equal and the corresponding sides have the same ratio.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"have the same ratio.\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Similar triangles are two triangles that have the same shape but not of the same size. In two similar triangles, the corresponding angles are equal and the corresponding sides have the same ratio.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Similar triangles are two triangles that have the same shape but not of the same size. In two similar triangles, the corresponding angles are equal and the corresponding sides have the same ratio.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which is the correct congruence statement?\",\n                    \"text\": \"Which is the correct congruence statement?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Corresponding sides: $$LM = PR,\\\\; LN = PQ$$, and $$MN = QR$$<br> \r\nCorresponding angles: $$\\\\angle L = \\\\angle P,\\\\; \\\\angle N = \\\\angle Q,\\\\; \\\\angle M = \\\\angle R$$<br>\r\nThus, $$\\\\Delta LNM\\\\;\\\\cong\\\\;\\\\Delta PQR$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\Delta NLM\\\\;\\\\cong \\\\;\\\\Delta RQP$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Corresponding sides: $$LM = PR,\\\\; LN = PQ$$, and $$MN = QR$$<br> \r\nCorresponding angles: $$\\\\angle L = \\\\angle P,\\\\; \\\\angle N = \\\\angle Q,\\\\; \\\\angle M = \\\\angle R$$<br>\r\nThus, $$\\\\Delta LNM\\\\;\\\\cong\\\\;\\\\Delta PQR$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\Delta LMN\\\\;\\\\cong\\\\;\\\\Delta PQR$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Corresponding sides: $$LM = PR,\\\\; LN = PQ$$, and $$MN = QR$$<br> \r\nCorresponding angles: $$\\\\angle L = \\\\angle P,\\\\; \\\\angle N = \\\\angle Q,\\\\; \\\\angle M = \\\\angle R$$<br>\r\nThus, $$\\\\Delta LNM\\\\;\\\\cong\\\\;\\\\Delta PQR$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\Delta MLN\\\\;\\\\cong\\\\;\\\\Delta PRQ$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Corresponding sides: $$LM = PR,\\\\; LN = PQ$$, and $$MN = QR$$<br> \r\nCorresponding angles: $$\\\\angle L = \\\\angle P,\\\\; \\\\angle N = \\\\angle Q,\\\\; \\\\angle M = \\\\angle R$$<br>\r\nThus, $$\\\\Delta LNM\\\\;\\\\cong\\\\;\\\\Delta PQR$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\Delta LNM\\\\;\\\\cong\\\\;\\\\Delta PQR$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Corresponding sides: $$LM = PR,\\\\; LN = PQ$$, and $$MN = QR$$<br> \r\nCorresponding angles: $$\\\\angle L = \\\\angle P,\\\\; \\\\angle N = \\\\angle Q,\\\\; \\\\angle M = \\\\angle R$$<br>\r\nThus, $$\\\\Delta LNM\\\\;\\\\cong\\\\;\\\\Delta PQR$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Corresponding sides: $$LM = PR,\\\\; LN = PQ$$, and $$MN = QR$$<br> \r\nCorresponding angles: $$\\\\angle L = \\\\angle P,\\\\; \\\\angle N = \\\\angle Q,\\\\; \\\\angle M = \\\\angle R$$<br>\r\nThus, $$\\\\Delta LNM\\\\;\\\\cong\\\\;\\\\Delta PQR$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"$$\\\\Delta UVW\\\\;\\\\sim\\\\;\\\\Delta UEC$$. Name the corresponding side of VW.\",\n                    \"text\": \"$$\\\\Delta UVW\\\\;\\\\sim\\\\;\\\\Delta UEC$$. Name the corresponding side of VW.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$\\\\Delta UVW$$ and $$\\\\Delta UEC,\\\\; UV$$ corresponds to UE, VW corresponds to EC and UW corresponds to UC.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"UE\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\Delta UVW$$ and $$\\\\Delta UEC,\\\\; UV$$ corresponds to UE, VW corresponds to EC and UW corresponds to UC.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"UC\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\Delta UVW$$ and $$\\\\Delta UEC,\\\\; UV$$ corresponds to UE, VW corresponds to EC and UW corresponds to UC.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"None of the above\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\Delta UVW$$ and $$\\\\Delta UEC,\\\\; UV$$ corresponds to UE, VW corresponds to EC and UW corresponds to UC.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"EC\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$\\\\Delta UVW$$ and $$\\\\Delta UEC,\\\\; UV$$ corresponds to UE, VW corresponds to EC and UW corresponds to UC.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$\\\\Delta UVW$$ and $$\\\\Delta UEC,\\\\; UV$$ corresponds to UE, VW corresponds to EC and UW corresponds to UC.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"$$\\\\Delta ABC\\\\;\\\\cong\\\\;\\\\Delta PQR$$ such that $$m\\\\angle A = 65^\\\\circ$$. What is $$m\\\\angle P$$?\",\n                    \"text\": \"$$\\\\Delta ABC\\\\;\\\\cong\\\\;\\\\Delta PQR$$ such that $$m\\\\angle A = 65^\\\\circ$$. What is $$m\\\\angle P$$?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"If two triangles are congruent, the corresponding angles and sides are congruent.<br>\r\n$$\\\\angle P$$ corresponds to $$\\\\angle A$$.<br>\r\nThus, in $$\\\\Delta ABC$$ and $$\\\\Delta PQR,\\\\; \\\\angle A = \\\\angle P = 65^\\\\circ$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$55^\\\\circ$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If two triangles are congruent, the corresponding angles and sides are congruent.<br>\r\n$$\\\\angle P$$ corresponds to $$\\\\angle A$$.<br>\r\nThus, in $$\\\\Delta ABC$$ and $$\\\\Delta PQR,\\\\; \\\\angle A = \\\\angle P = 65^\\\\circ$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$90^\\\\circ$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If two triangles are congruent, the corresponding angles and sides are congruent.<br>\r\n$$\\\\angle P$$ corresponds to $$\\\\angle A$$.<br>\r\nThus, in $$\\\\Delta ABC$$ and $$\\\\Delta PQR,\\\\; \\\\angle A = \\\\angle P = 65^\\\\circ$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"None of the above\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If two triangles are congruent, the corresponding angles and sides are congruent.<br>\r\n$$\\\\angle P$$ corresponds to $$\\\\angle A$$.<br>\r\nThus, in $$\\\\Delta ABC$$ and $$\\\\Delta PQR,\\\\; \\\\angle A = \\\\angle P = 65^\\\\circ$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$65^\\\\circ$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"If two triangles are congruent, the corresponding angles and sides are congruent.<br>\r\n$$\\\\angle P$$ corresponds to $$\\\\angle A$$.<br>\r\nThus, in $$\\\\Delta ABC$$ and $$\\\\Delta PQR,\\\\; \\\\angle A = \\\\angle P = 65^\\\\circ$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"If two triangles are congruent, the corresponding angles and sides are congruent.<br>\r\n$$\\\\angle P$$ corresponds to $$\\\\angle A$$.<br>\r\nThus, in $$\\\\Delta ABC$$ and $$\\\\Delta PQR,\\\\; \\\\angle A = \\\\angle P = 65^\\\\circ$$.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"10-frequently-asked-questions-on-corresponding-sides\">Frequently Asked Questions on Corresponding Sides<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-092e823b-3696-4914-953d-5c1431345e98\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-092e823b-3696-4914-953d-5c1431345e98\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-092e823b-3696-4914-953d-5c1431345e98\"><strong>Are corresponding angles always equal?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-092e823b-3696-4914-953d-5c1431345e98\">\n\n<p class=\"eplus-wrapper\">No, all corresponding angles are not equal. The corresponding angles formed when a transversal intersects two parallel lines are equal.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-092e823b-3696-4914-953d-5c1431345e98\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-092e823b-3696-4914-953d-5c1431345e98\"><strong>Do similar shapes have proportional areas?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-092e823b-3696-4914-953d-5c1431345e98\">\n\n<p class=\"eplus-wrapper\">When two triangles are similar, not only do their angles and sides are in proportion, but also their perimeters, altitudes, angle bisectors, areas, and other characteristics are in proportion as well.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-092e823b-3696-4914-953d-5c1431345e98\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-092e823b-3696-4914-953d-5c1431345e98\"><strong>How do you find the area of the similar triangles?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-092e823b-3696-4914-953d-5c1431345e98\">\n\n<p class=\"eplus-wrapper\">According to the area of similar triangles theorem, \u201cThe ratio of the areas of two similar triangles is equal to the square of the ratio of any pair of their corresponding sides.\u201d Let&#8217;s take a look at an example. Consider two similar triangles$\\Delta ABC$ and$\\Delta PQR$,<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"336\" height=\"156\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/05\/Frequently-Asked-Questions-3.png\" alt=\"similar triangles ABC and PQR\" class=\"wp-image-28488\" title=\"similar triangles ABC and PQR\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/05\/Frequently-Asked-Questions-3.png 336w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/05\/Frequently-Asked-Questions-3-300x139.png 300w\" sizes=\"auto, (max-width: 336px) 100vw, 336px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">According to the theorem for areas of similar triangles, we have<br>$\\frac{Area\\; of\\;\\Delta ABC}{Area\\; of\\;\\Delta PQR} = \\frac{(AB)^2}{(PQ)^2} = \\frac{(BC)^2}{(QR)^2} = \\frac{(AC)^2}{(PR)^2}$<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-092e823b-3696-4914-953d-5c1431345e98\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-092e823b-3696-4914-953d-5c1431345e98\"><strong>What are the various theorems to prove triangle similarity?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-092e823b-3696-4914-953d-5c1431345e98\">\n\n<p class=\"eplus-wrapper\">There are three theorems used to prove triangle similarity.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">1. AA: Two pairs of corresponding angles are equal.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">2. SSS: Three pairs of corresponding sides are proportional.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">3. SAS: Two pairs of corresponding sides are proportional and the corresponding angles included between them are equal.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-4-092e823b-3696-4914-953d-5c1431345e98\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-092e823b-3696-4914-953d-5c1431345e98\"><strong>Are the circles congruent if they have the same diameter?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-4-092e823b-3696-4914-953d-5c1431345e98\">\n\n<p class=\"eplus-wrapper\">Two circles are known to be congruent if their radius is equal to each other. The length of a diameter is twice the radius. Therefore, congruent circles have the same diameter. On the other hand, all circles are similar since they have the same shape but different sizes.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Are Corresponding Sides in Geometry? Corresponding sides are the pair of matching sides that are placed at the same spot in two different shapes.&nbsp; Corresponding sides and corresponding angles are compared to study similarity and congruence. Corresponding parts are the parts that appear in identical places in two similar shapes. Then, what does the &#8230; <a title=\"Corresponding Sides &#8211; Definition, Solved Examples, Facts, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/corresponding-sides\" aria-label=\"More on Corresponding Sides &#8211; Definition, Solved Examples, Facts, FAQs\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-28471","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/28471","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=28471"}],"version-history":[{"count":48,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/28471\/revisions"}],"predecessor-version":[{"id":39935,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/28471\/revisions\/39935"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=28471"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=28471"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=28471"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}