{"id":30417,"date":"2023-06-09T08:16:12","date_gmt":"2023-06-09T08:16:12","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=30417"},"modified":"2023-11-15T17:13:10","modified_gmt":"2023-11-15T17:13:10","slug":"construct-an-angle-bisector-definition-examples-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/constructing-angle-bisectors","title":{"rendered":"Construct an Angle Bisector &#8211; Definition, Examples, 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-b538a61b-13ab-4a00-b521-b59be7700cc0\" 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\/constructing-angle-bisectors#0-what-is-meant-by-constructing-angle-bisectors>What Is Meant by Constructing Angle Bisectors?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/constructing-angle-bisectors#4-how-to-construct-an-angle-bisector-with-a-protractor>How to Construct an Angle Bisector with a Protractor<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/constructing-angle-bisectors#5-properties-of-an-angle-bisector>Properties of an Angle Bisector<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/constructing-angle-bisectors#7-solved-examples-on-construction-of-angle-bisectors>Solved Examples on Construction of Angle Bisectors<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/constructing-angle-bisectors#8-practice-problems-on-construction-of-angle-bisectors>Practice Problems on Construction of Angle Bisectors<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/constructing-angle-bisectors#9-frequently-asked-questions-on-construction-of-angle-bisectors>Frequently Asked Questions on Construction of Angle Bisectors<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-meant-by-constructing-angle-bisectors\">What Is Meant by Constructing Angle Bisectors?<\/h2>\n\n\n\n<p><strong>Constructing an <\/strong><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/angle-bisector\" target=\"_blank\" rel=\"noopener\" title=\"\"><strong>angle bisector<\/strong><\/a><strong> simply means constructing a <\/strong><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/line\" target=\"_blank\" rel=\"noopener\" title=\"\"><strong>line<\/strong><\/a><strong> that divides a given angle into two equal parts. In other words, it refers to constructing or drawing a line that <\/strong><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/bisect\" target=\"_blank\" rel=\"noopener\" title=\"\"><strong>bisects<\/strong><\/a><strong> a given angle.<\/strong><\/p>\n\n\n\n<p>An <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/angle\" target=\"_blank\" rel=\"noopener\" title=\"\">angle<\/a> is formed when two rays meet at a point called a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/vertex\" target=\"_blank\" rel=\"noopener\" title=\"\">vertex<\/a>. An angle bisector is a line that divides an angle into two equal <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/halves\" target=\"_blank\" rel=\"noopener\" title=\"\">halves<\/a>.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"509\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/an-angle-bisector-OC-of-an-angle-AOB.png\" alt=\"An angle bisector OC of an angle AOB\" class=\"wp-image-35848\" title=\"An angle bisector OC of an angle AOB\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/an-angle-bisector-OC-of-an-angle-AOB.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/an-angle-bisector-OC-of-an-angle-AOB-300x246.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>In the figure given above, OC is an angle bisector of $\\angle AOB$.<\/p>\n\n\n\n<p>It means $\\angle AOC = \\angle BOC = 12 \\angle AOB$<\/p>\n\n\n\n<p>Suppose an angle bisector is constructed for an angle of 80 degree, it divides the angle into two equal angles of 40 degrees each. We can construct angle bisectors for all types of angles, such as <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/acute-angle\" target=\"_blank\" rel=\"noopener\" title=\"\">acute angles<\/a>, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/obtuse-angle\" target=\"_blank\" rel=\"noopener\" title=\"\">obtuse angles<\/a>, or <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/right-angle\" target=\"_blank\" rel=\"noopener\" title=\"\">right angles<\/a>.<\/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\/add-the-angles\" 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\/geo_meas_add_angles_pt.png\" alt=\"Add the Angles 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\">Add the Angles 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\/answer-questions-related-to-triangles\" 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_classify_tri_on_side_pt.png\" alt=\"Answer Questions Related to Triangles 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\">Answer Questions Related to Triangles 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\/classify-triangles-and-rectangles-as-closed-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_triangle_rectangle_2_pt.png\" alt=\"Classify Triangles and Rectangles as Closed 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\">Classify Triangles and Rectangles as Closed 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\/classify-triangles\" 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_classify_triangles_pt.png\" alt=\"Classify Triangles 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\">Classify Triangles 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\/draw-angles-in-multiples-of-10-degrees\" 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\/geo_meas_draw_angle_1_pt.png\" alt=\"Draw Angles in Multiples of 10 Degrees 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\">Draw Angles in Multiples of 10 Degrees 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\/draw-angles-nearest-5-and-1-degrees\" 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\/geo_meas_draw_angle_2_pt.png\" alt=\"Draw Angles Nearest 5 and 1 Degrees 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\">Draw Angles Nearest 5 and 1 Degrees 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\/draw-angles-using-a-protractor\" 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\/geo_meas_draw_angle_protractor_pt.png\" alt=\"Draw Angles Using a Protractor 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\">Draw Angles Using a Protractor 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-right-angles\" 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_right_angle_1_pt.png\" alt=\"Find Right Angles 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 Right Angles 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-the-perimeter-of-the-squared-and-the-rectangles\" 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\/geo_meas_peri_rectangle_2_pt.png\" alt=\"Find the Perimeter of the Squared and the Rectangles 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 the Perimeter of the Squared and the Rectangles 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-angles-by-their-types\" 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_types_of_angle_pt.png\" alt=\"Identify Angles by their Types 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 Angles by their Types 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\" id=\"1-which-tools-are-necessary-to-construct-an-angle-bisector\">Which Tools Are Necessary to Construct an Angle Bisector?<\/h2>\n\n\n\n<p>You might need to grab the following tools to draw an angle bisector.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A ruler&nbsp;<\/li>\n\n\n\n<li>A pencil<\/li>\n\n\n\n<li>A compass<\/li>\n\n\n\n<li>A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/protractor\" target=\"_blank\" rel=\"noopener\" title=\"\">protractor<\/a>&nbsp;<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"587\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/tools-needed-for-constructing-an-angle-bisector.png\" alt=\"Tools needed for constructing an angle bisector\" class=\"wp-image-35849\" title=\"Tools needed for constructing an angle bisector\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/tools-needed-for-constructing-an-angle-bisector.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/tools-needed-for-constructing-an-angle-bisector-300x284.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\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\/rectangles-and-triangles\" 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\/rectangles-and-triangles.jpeg\" alt=\"Rectangles and Triangles 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\/separate-out-the-triangles\" 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\/separate-out-the-triangles.jpeg\" alt=\"Separate Out the Triangles 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\" id=\"2-how-to-construct-an-angle-bisector-with-a-compass\">How to Construct an Angle Bisector With a Compass<\/h2>\n\n\n\n<p>Let\u2019s understand how to bisect an angle with a compass.<\/p>\n\n\n\n<p>Suppose that we have to construct an angle bisector for the angle POQ shown below.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"489\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/angle-POQ.png\" alt=\"Angle POQ\" class=\"wp-image-35851\" title=\"Angle POQ\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/angle-POQ.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/angle-POQ-300x236.png 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<p><strong>Step 1:<\/strong> Open the compass to any suitable distance. Keeping Y as the center, draw an arc such that it cuts the arms of the angle at points X and Y respectively.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"490\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/constructing-angle-bisector-step-2-drawing-an-arc.png\" alt=\"Constructing angle bisector step 2 - drawing an arc\" class=\"wp-image-35852\" title=\"Constructing angle bisector step 2 - drawing an arc\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/constructing-angle-bisector-step-2-drawing-an-arc.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/constructing-angle-bisector-step-2-drawing-an-arc-300x237.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>Note: $OX = OY$, since these are drawn keeping the same radii on the compass.<\/p>\n\n\n\n<p><strong>Step 2: <\/strong>Using the same distance on the compass, draw two arcs with X and Y as centers. Let these two arcs intersect at a point named Z.<\/p>\n\n\n\n<p>Since we did not change the radius of the compass, we have $XZ = YZ = OX = OY$.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"490\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/drawing-arcs-to-construct-an-angle-bisector.png\" alt=\"Drawing arcs to construct an angle bisector\" class=\"wp-image-35853\" title=\"Drawing arcs to construct an angle bisector\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/drawing-arcs-to-construct-an-angle-bisector.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/drawing-arcs-to-construct-an-angle-bisector-300x237.png 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<p><strong>Step 3:<\/strong> Join the points O and Z. OZ is the required angle bisector of angle POQ.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"490\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/constructing-angle-bisector-using-a-compass.png\" alt=\"Constructing angle bisector using a compass\" class=\"wp-image-35854\" title=\"Constructing angle bisector using a compass\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/constructing-angle-bisector-using-a-compass.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/constructing-angle-bisector-using-a-compass-300x237.png 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-how-to-prove-that-a-line-is-an-angle-bisector\">How to Prove That a Line Is an Angle Bisector<\/h2>\n\n\n\n<p>We will refer to the previous diagram. Let us prove that XZ is the angle bisector of the angle POQ (angle XOY).<\/p>\n\n\n\n<p>In $\\Delta OXZ$ and $\\Delta OYZ$,<\/p>\n\n\n\n<p>$XZ = YZ$ (arcs drawn with equal radii)<\/p>\n\n\n\n<p>$OX = OY$ (arcs drawn with equal radii)<\/p>\n\n\n\n<p>$OZ = OZ$ (common side)<\/p>\n\n\n\n<p>By the SSS criterion, $\\Delta OXZ$ and $\\Delta OYZ$ are congruent.&nbsp;<\/p>\n\n\n\n<p>$\\Delta XOZ = \\Delta YOZ$ (Corresponding parts of congruent triangles)<\/p>\n\n\n\n<p>Thus, ray OZ is the angle bisector of $\\Delta XOY$ or $\\Delta POQ$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-how-to-construct-an-angle-bisector-with-a-protractor\">How to Construct an Angle Bisector with a Protractor<\/h2>\n\n\n\n<p><strong>Step 1: <\/strong>Align the initial arm of the angle with the baseline of the protractor such that the vertex is on the center of the protractor.<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Note down the measure of the given angle.&nbsp;<\/p>\n\n\n\n<p>Divide it by 2.<\/p>\n\n\n\n<p><strong>Step 3: <\/strong>Mark this measurement on the protractor.<\/p>\n\n\n\n<p><strong>Step 4:<\/strong> Join the center of the protractor with the marked point.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"490\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/constructing-an-angle-bisector-of-120-degree-angle-using-a-protractor.png\" alt=\"Constructing an angle bisector of 120 degree angle using a protractor\" class=\"wp-image-35855\" title=\"Constructing an angle bisector of 120 degree angle using a protractor\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/constructing-an-angle-bisector-of-120-degree-angle-using-a-protractor.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/constructing-an-angle-bisector-of-120-degree-angle-using-a-protractor-300x237.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-properties-of-an-angle-bisector\">Properties of an Angle Bisector<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>An angle bisector divides an angle into two equal angles.<\/li>\n\n\n\n<li>Any point on the angle bisector is at an equal distance from the arms or sides of the angle.<\/li>\n\n\n\n<li>The angle bisector in a triangle divides the opposite side in a ratio that is equal to the ratio of the other two sides.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we learned how to construct an angle bisector. We explored the method step by step with the help of examples. Let\u2019s solve a few examples and practice problems to check our understanding of these concepts.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-solved-examples-on-construction-of-angle-bisectors\">Solved Examples on Construction of Angle Bisectors<\/h2>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Identify the steps used to draw an angle bisector OC in the given diagram. Also, based on the construction of an angle bisector, which line segments and angles must be congruent?&nbsp;<\/strong><\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"380\" height=\"328\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/an-angle-bisector-OC-of-angle-AOB.png\" alt=\"An angle bisector OC of angle AOB\" class=\"wp-image-35857\" title=\"An angle bisector OC of angle AOB\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/an-angle-bisector-OC-of-angle-AOB.png 380w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/an-angle-bisector-OC-of-angle-AOB-300x259.png 300w\" sizes=\"auto, (max-width: 380px) 100vw, 380px\" \/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Here, $\\Delta AOB$ is given.&nbsp;<\/p>\n\n\n\n<p><strong>Step 1:<\/strong> In the first step, an arc is drawn keeping O as center with a suitable radius in the compass. It cuts the arms of the angle at A and B.<\/p>\n\n\n\n<p>Thus, $OA = OB$<\/p>\n\n\n\n<p><strong>Step 2: <\/strong>Next, without changing the radius of the compass, we draw two arcs keeping A and B as centers, which intersect each other at the point C.&nbsp;<\/p>\n\n\n\n<p>Thus, $AC = BC$.<\/p>\n\n\n\n<p><strong>Step 3: <\/strong>The line segment OC, joining O and C is the angle bisector.<\/p>\n\n\n\n<p>$\\Delta AOC = \\Delta BOC = \\frac{1}{2} \\Delta AOB$<\/p>\n\n\n\n<p><strong>2. How can you draw the angle bisector of <\/strong>$50^{\\circ}$<strong> with a protractor?<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Draw a baseline AB. Put the center of the protractor on the point A.<\/p>\n\n\n\n<p>Now, we will mark two points using the inner calibration of the protractor.<\/p>\n\n\n\n<p>First, mark a point C representing the 50 degree angle.<\/p>\n\n\n\n<p>Next, mark a point D representing the 25 degree angle since it is exactly half of 50 degrees.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"343\" height=\"187\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/a-50-degree-angle-drawn-using-protractor.png\" alt=\"A 50 degree angle drawn using protractor\" class=\"wp-image-35858\" title=\"A 50 degree angle drawn using protractor\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/a-50-degree-angle-drawn-using-protractor.png 343w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/a-50-degree-angle-drawn-using-protractor-300x164.png 300w\" sizes=\"auto, (max-width: 343px) 100vw, 343px\" \/><\/figure>\n\n\n\n<p>Remove the protractor. Join points A and C. Join the points A and D.<\/p>\n\n\n\n<p>Here, AD is the angle bisector of $\\angle BAC$.<\/p>\n\n\n\n<p>$\\angle BAD = \\angle CAD = \\frac{1}{2} \\angle BAC = 25^{\\circ}$<\/p>\n\n\n\n<p>$\\angle BAC = 50^\\circ$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"327\" height=\"248\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/angle-bisector-of-a-50-degree-angle.png\" alt=\"Angle bisector of a 50 degree angle\" class=\"wp-image-35859\" title=\"Angle bisector of a 50 degree angle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/angle-bisector-of-a-50-degree-angle.png 327w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/angle-bisector-of-a-50-degree-angle-300x228.png 300w\" sizes=\"auto, (max-width: 327px) 100vw, 327px\" \/><\/figure>\n\n\n\n<p><strong>3. Find the value of x if OM is an angle bisector.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"349\" height=\"267\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/finding-missing-values-using-angle-bisector-properties.png\" alt=\"Finding missing values using angle bisector properties\" class=\"wp-image-35860\" title=\"Finding missing values using angle bisector properties\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/finding-missing-values-using-angle-bisector-properties.png 349w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/finding-missing-values-using-angle-bisector-properties-300x230.png 300w\" sizes=\"auto, (max-width: 349px) 100vw, 349px\" \/><\/figure>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Since OM is an angle bisector, the angles BOC and AOC are equal.<\/p>\n\n\n\n<p>$2x + 1 = 35$<\/p>\n\n\n\n<p>$2x = 34$<\/p>\n\n\n\n<p>$x = 17$<\/p>\n\n\n\n<p><strong>4. Draw a right angle using a protractor and bisect it using a compass.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>First, draw a right angle using a protractor. Draw a baseline OB. Using the inner calibration, mark the point showing 90 degrees. Join the origin and the marked point.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"351\" height=\"208\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/constructing-a-right-angle-using-a-protractor.png\" alt=\"Constructing a right angle using a protractor.\" class=\"wp-image-35861\" title=\"Constructing a right angle using a protractor.\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/constructing-a-right-angle-using-a-protractor.png 351w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/constructing-a-right-angle-using-a-protractor-300x178.png 300w\" sizes=\"auto, (max-width: 351px) 100vw, 351px\" \/><\/figure>\n\n\n\n<p>Keeping the center as O and with a suitable radius, draw an arc that meets OB at E and OA at F. Using the same radius in the compass, draw two arcs in the interior of the angle keeping E and F as centers that will intersect at point G. Join OG. OG is the angle bisector of a right angle.&nbsp;<\/p>\n\n\n\n<p>$\\angle AOG = \\angle BOG = \\frac{1}{2} \\angle AOB = 45^{\\circ}$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"351\" height=\"244\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/bisecting-a-right-angle.png\" alt=\"Bisecting a right angle\" class=\"wp-image-35862\" title=\"Bisecting a right angle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/bisecting-a-right-angle.png 351w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/bisecting-a-right-angle-300x209.png 300w\" sizes=\"auto, (max-width: 351px) 100vw, 351px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-practice-problems-on-construction-of-angle-bisectors\">Practice Problems on Construction of Angle Bisectors<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Construct an Angle Bisector - Definition, Examples, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/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\">An angle bisector of $55^{\\circ}$ forms two congruent angles each measuring<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$22.5^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$27.5^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$70^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$110^{\\circ}$<\/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: $27.5^{\\circ}$<br\/>$\\frac{1}{2} \\times 55^{\\circ} = 27.5^{\\circ}$<\/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\">A line that divides a given angle into two equal parts is called _________.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">angle bisector<\/div><div class=\"spq_answer_block\" data-value=\"1\">perpendicular bisector<\/div><div class=\"spq_answer_block\" data-value=\"2\">median<\/div><div class=\"spq_answer_block\" data-value=\"3\">perpendicular<\/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: angle bisector<br\/>A line that divides a given angle into two equal halves is called angle bisector.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Which of the following tools is NOT required for constructing an angle bisector?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Ruler<\/div><div class=\"spq_answer_block\" data-value=\"1\">Compass<\/div><div class=\"spq_answer_block\" data-value=\"2\">Protractor<\/div><div class=\"spq_answer_block\" data-value=\"3\">Set square<\/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: Set square<br\/>Set squares are not used to draw angle bisectors. You can draw some standard angles, parallel and perpendicular lines, etc., using a set square.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">An angle bisector constructed for an angle of measure $120^{\\circ}$ divides the angle into two angles of measure ____ each.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$240^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$180^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$60^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$90^{\\circ}$<\/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: $60^{\\circ}$<br\/>$\\frac{1}{2} \\times 120^{\\circ} = 60^{\\circ}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">If each angle after bisection is of measure $85^{\\circ}$, which angle was bisected?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$42.5^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$50^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$150^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$170^{\\circ}$<\/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: $170^{\\circ}$<br\/>$85^{\\circ} + 85^{\\circ} = 170^{\\circ}$<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": 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divides a given angle into two equal parts is called _________.\",\n                    \"text\": \"A line that divides a given angle into two equal parts is called _________.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"A line that divides a given angle into two equal halves is called angle bisector.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"perpendicular bisector\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A line that divides a given angle into two equal halves is called angle bisector.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"median\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A line that divides a given angle into two equal halves is called angle bisector.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"perpendicular\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A line that divides a given angle into two equal halves is called angle bisector.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"angle bisector\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"A line that divides a given angle into two equal halves is called angle bisector.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"A line that divides a given angle into two equal halves is called angle bisector.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following tools is NOT required for constructing an angle bisector?\",\n                    \"text\": \"Which of the following tools is NOT required for constructing an angle bisector?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Set squares are not used to draw angle bisectors. You can draw some standard angles, parallel and perpendicular lines, etc., using a set square.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Ruler\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Set squares are not used to draw angle bisectors. You can draw some standard angles, parallel and perpendicular lines, etc., using a set square.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Compass\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Set squares are not used to draw angle bisectors. You can draw some standard angles, parallel and perpendicular lines, etc., using a set square.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Protractor\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Set squares are not used to draw angle bisectors. You can draw some standard angles, parallel and perpendicular lines, etc., using a set square.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Set square\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Set squares are not used to draw angle bisectors. You can draw some standard angles, parallel and perpendicular lines, etc., using a set square.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Set squares are not used to draw angle bisectors. You can draw some standard angles, parallel and perpendicular lines, etc., using a set square.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"An angle bisector constructed for an angle of measure $$120^{\\\\circ}$$ divides the angle into two angles of measure ____ each.\",\n                    \"text\": \"An angle bisector constructed for an angle of measure $$120^{\\\\circ}$$ divides the angle into two angles of measure ____ each.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$\\\\frac{1}{2} \\\\times 120^{\\\\circ} = 60^{\\\\circ}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$240^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\frac{1}{2} \\\\times 120^{\\\\circ} = 60^{\\\\circ}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$180^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\frac{1}{2} \\\\times 120^{\\\\circ} = 60^{\\\\circ}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$90^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\frac{1}{2} \\\\times 120^{\\\\circ} = 60^{\\\\circ}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$60^{\\\\circ}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$\\\\frac{1}{2} \\\\times 120^{\\\\circ} = 60^{\\\\circ}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$\\\\frac{1}{2} \\\\times 120^{\\\\circ} = 60^{\\\\circ}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If each angle after bisection is of measure $$85^{\\\\circ}$$, which angle was bisected?\",\n                    \"text\": \"If each angle after bisection is of measure $$85^{\\\\circ}$$, which angle was bisected?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$85^{\\\\circ} + 85^{\\\\circ} = 170^{\\\\circ}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$42.5^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$85^{\\\\circ} + 85^{\\\\circ} = 170^{\\\\circ}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$50^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$85^{\\\\circ} + 85^{\\\\circ} = 170^{\\\\circ}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$150^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$85^{\\\\circ} + 85^{\\\\circ} = 170^{\\\\circ}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$170^{\\\\circ}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$85^{\\\\circ} + 85^{\\\\circ} = 170^{\\\\circ}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$85^{\\\\circ} + 85^{\\\\circ} = 170^{\\\\circ}$$\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-frequently-asked-questions-on-construction-of-angle-bisectors\">Frequently Asked Questions on Construction of Angle Bisectors<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-c82e3437-6269-4a7b-9613-610fa9c5190c\" 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-c82e3437-6269-4a7b-9613-610fa9c5190c\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-c82e3437-6269-4a7b-9613-610fa9c5190c\"><strong>What is the difference between angle bisector and perpendicular bisector?<\/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-c82e3437-6269-4a7b-9613-610fa9c5190c\">\n\n<p>An angle bisector is a line that divides an angle into two equal halves, whereas a perpendicular bisector is a line that divides a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/line-segment\" target=\"_blank\" rel=\"noopener\" title=\"\">line segment<\/a> into two <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/counting-and-comparison\/equal-parts\" target=\"_blank\" rel=\"noopener\" title=\"\">equal parts<\/a> at a right angle.<\/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-c82e3437-6269-4a7b-9613-610fa9c5190c\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-c82e3437-6269-4a7b-9613-610fa9c5190c\"><strong>How many angle bisectors can a triangle have?<\/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-c82e3437-6269-4a7b-9613-610fa9c5190c\">\n\n<p>A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/triangle\" target=\"_blank\" rel=\"noopener\" title=\"\">triangle<\/a> can have only three angle bisectors since there are only three angles in a triangle.<\/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-c82e3437-6269-4a7b-9613-610fa9c5190c\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-c82e3437-6269-4a7b-9613-610fa9c5190c\"><strong>What is the angle bisector theorem?<\/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-c82e3437-6269-4a7b-9613-610fa9c5190c\">\n\n<p>Angle bisector theorem states that an angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle.<\/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-c82e3437-6269-4a7b-9613-610fa9c5190c\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-c82e3437-6269-4a7b-9613-610fa9c5190c\"><strong>What is the point of intersection of angle bisectors of a triangle called?<\/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-c82e3437-6269-4a7b-9613-610fa9c5190c\">\n\n<p>The three angle bisectors of a triangle intersect at a single point called the incenter.<\/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-c82e3437-6269-4a7b-9613-610fa9c5190c\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-c82e3437-6269-4a7b-9613-610fa9c5190c\"><strong>When constructing an angle bisector why must the arcs intersect?<\/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-c82e3437-6269-4a7b-9613-610fa9c5190c\">\n\n<p>If the arcs don\u2019t intersect, we won\u2019t find a point that is to be joined with the vertex of the given angle. Thus, we won\u2019t be able to draw an angle bisector.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is Meant by Constructing Angle Bisectors? Constructing an angle bisector simply means constructing a line that divides a given angle into two equal parts. In other words, it refers to constructing or drawing a line that bisects a given angle. An angle is formed when two rays meet at a point called a vertex. &#8230; <a title=\"Construct an Angle Bisector &#8211; Definition, Examples, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/constructing-angle-bisectors\" aria-label=\"More on Construct an Angle Bisector &#8211; Definition, Examples, 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-30417","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\/30417","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=30417"}],"version-history":[{"count":11,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/30417\/revisions"}],"predecessor-version":[{"id":35863,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/30417\/revisions\/35863"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=30417"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=30417"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=30417"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}