{"id":27455,"date":"2023-04-13T05:11:37","date_gmt":"2023-04-13T05:11:37","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=27455"},"modified":"2024-01-01T16:34:17","modified_gmt":"2024-01-01T16:34:17","slug":"properties-of-a-kite-definition-examples-facts-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/properties-of-a-kite","title":{"rendered":"Properties of a Kite: Definition, 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-4b01cdab-0dc5-4ae6-9b71-5b37ebfeb8ee\" 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\/properties-of-a-kite#0-what-are-the-properties-of-a-kite>What Are the Properties of a Kite?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/properties-of-a-kite#2-properties-of-a-kite>Properties of a Kite<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/properties-of-a-kite#3-properties-of-diagonals-of-a-kite>Properties of Diagonals of a Kite<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/properties-of-a-kite#6-solved-examples-on-properties-of-a-kite->Solved Examples on Properties of a Kite<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/properties-of-a-kite#7-practice-problems-on-properties-of-a-kite>Practice Problems on Properties of a Kite<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/properties-of-a-kite#8-frequently-asked-questions-on-properties-of-a-kite>Frequently Asked Questions on Properties of a Kite<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-are-the-properties-of-a-kite\">What Are the Properties of a Kite?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Properties of a kite are the distinct characteristics or features of the kite shape, its vertices, interior angles, sides, diagonals that makes it a unique shape.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">You\u2019re probably familiar with a kite as a fun paper toy that soars high in the sky wherever the wind carries it. The kite is constructed based on a geometrical shape called a \u201ckite.\u201d&nbsp; Let\u2019s explore the definition of kite and its properties in geometry.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"403\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/a-kite.png\" alt=\"A Kite\" class=\"wp-image-37143\" title=\"A kite\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/a-kite.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/a-kite-300x195.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\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\/identify-kite-rhombuses-and-parallelograms\" 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_rhombus_parallelogram_pt.png\" alt=\"Identify Kite, Rhombuses and Parallelograms 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 Kite, Rhombuses and Parallelograms 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-kite-squares-and-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\/geometry_square_rectangle_pt.png\" alt=\"Identify Kite, Squares and 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\">Identify Kite, Squares and 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><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-what-is-a-kite-shape\">What Is a Kite Shape?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">A kite is a quadrilateral, a closed flat geometric shape in which two sets of neighboring or adjacent sides are congruent (equal in length). Its diagonals meet at right angles.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"517\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/kite-polygon.png\" alt=\"kite polygon\" class=\"wp-image-37144\" title=\"kite polygon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/kite-polygon.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/kite-polygon-300x250.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>There are two types of kites.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Convex: <\/strong>Each interior angle measures less than $180^\\circ$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Concave: <\/strong>One interior angle is greater than $180^\\circ$. A dart or an arrowhead is an example of a concave kite.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"531\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/convex-and-concave-kites.png\" alt=\"Convex and concave kites\" class=\"wp-image-37145\" title=\"Convex and concave kites\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/convex-and-concave-kites.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/convex-and-concave-kites-300x257.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\/match-the-commutative-properties-of-addition\" 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\/match-the-commutative-properties-of-addition.jpeg\" alt=\"Match the Commutative Properties of Addition\">\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-properties-of-a-kite\">Properties of a Kite<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Let\u2019s learn the important properties of a kite in geometry using the following diagram. We will discuss side properties of a kite as well as diagonal properties of a kite.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, the longer diagonal RS is referred to as the main or primary diagonal.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"482\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/a-kite-pqrs-with-its-diagonals-pq-and-rs-bisecting-each-other-at-90-degrees.png\" alt=\"A kite PQRS with its diagonals PQ and RS bisecting each other at 90 degrees\" class=\"wp-image-37146\" title=\"A kite PQRS with its diagonals PQ and RS bisecting each other at 90 degrees\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/a-kite-pqrs-with-its-diagonals-pq-and-rs-bisecting-each-other-at-90-degrees.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/a-kite-pqrs-with-its-diagonals-pq-and-rs-bisecting-each-other-at-90-degrees-300x233.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Two pairs of adjacent sides are equal. $\\left[ PR = QR,\\; PS = QS \\right]$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Two diagonals intersect each other at right angles. $\\left[ PQ \\;\\bot\\; RS \\right]$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">The kite is symmetrical about the longer diagonal.&nbsp;<\/li>\n\n\n\n<li class=\"eplus-wrapper\">The longer diagonal bisects the shorter diagonal. $\\left[ OP = OQ \\right]$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">The angles opposite to the main diagonal are equal. $\\left[\\angle P = \\angle Q\\right]$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">The kite is split into two isosceles triangles by the shorter diagonal.<\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper\">$[\\Delta PRQ \\;and\\; \\Delta PSQ]$<\/p>\n\n\n\n<ol start=\"7\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">The kite is divided into two congruent triangles by the longer diagonal.<\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper\">$[\\Delta PRS \\;and\\; Delta QRS]$<\/p>\n\n\n\n<ol start=\"8\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">The longer diagonal bisects the pair of opposite angles.&nbsp;<\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper\">$\\left[\\angle PRS = \\angle QRS, \\;and\\; \\angle PSR = \\angle QSR\\right]$<\/p>\n\n\n\n<ol start=\"9\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">The area of kite $= \\frac{1}{2} \\times d_1 \\times d_2$, where $d_1,\\; d_2$ are lengths of diagonals.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Perimeter of a kite with sides a and b is given by $2\\left[a+b\\right]$.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">The sum of the interior angles of a kite $= 360^\\circ$.<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-properties-of-diagonals-of-a-kite\">Properties of Diagonals of a Kite<\/h2>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"493\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/diagonals-of-a-kite.png\" alt=\"Diagonals of a kite\" class=\"wp-image-37147\" title=\"Diagonals of a kite\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/diagonals-of-a-kite.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/diagonals-of-a-kite-300x238.png 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Two diagonals of the kite are perpendicular to each other. Thus, KT and IE intersect at right angles.&nbsp;<\/li>\n\n\n\n<li class=\"eplus-wrapper\">They are not equal in length.&nbsp; $\\left[KT\\; IE\\right]$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">The longer diagonal bisects the shorter diagonal. $\\left[OK = OT\\right]$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Angles opposite to the longer diagonal are congruent. $\\left[\\angle K = \\angle T\\right]$<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-fun-facts-about-properties-of-a-kite\">Fun Facts About Properties of a Kite!<\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">When all the sides of a kite are congruent, it becomes a rhombus.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Kite is referred to as a dart when it&#8217;s not convex.&nbsp;<\/li>\n\n\n\n<li class=\"eplus-wrapper\">When all sides are congruent and all interior angles measure 90 degrees, the kite becomes a square.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">A kite has all the properties of a cyclic quadrilateral.&nbsp;<\/li>\n\n\n\n<li class=\"eplus-wrapper\">The product of a kite\u2019s diagonals is equal to half of its area.&nbsp;<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">A kite is a quadrilateral form with two pairs of adjacent sides that are congruent. Let\u2019s solve a few examples for better understanding.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-solved-examples-on-properties-of-a-kite-\"><strong>Solved Examples on Properties of a Kite<\/strong><\/h2>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Find the area of a kite whose diagonals are 6 and 18 inches long.&nbsp;<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Area of a kite $= \\frac{d_1\\;d_2}{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= \\frac{(6\\times18)}{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= 54$ square inches.&nbsp;<\/p>\n\n\n\n<ol start=\"2\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Find:&nbsp;<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper\"><strong>a) PR&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>b) RS&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>c) <\/strong>$\\angle C$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"319\" height=\"520\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/kite-pqrs.png\" alt=\"Kite PQRS\" class=\"wp-image-37148\" title=\"Kite PQRS\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/kite-pqrs.png 319w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/kite-pqrs-184x300.png 184w\" sizes=\"auto, (max-width: 319px) 100vw, 319px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Two pairs of adjacent sides of a kite are equal. In the kite PQRS, $PQ = PR \\;and\\; QS = RS$.&nbsp;<\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper\">Since $PQ = 5$ units, $PR = 5$ units.<\/p>\n\n\n\n<ol start=\"2\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Similarly, $RS = QS = 10$ units<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Angles opposite to the main diagonal are equal. $\\angle C = \\angle B = 109^\\circ$<\/li>\n<\/ol>\n\n\n\n<ol start=\"3\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Four friends are flying identical-sized kites at a park. Each kite has diagonals of 12 inches and 15 inches. Find the total area of four kites combined together.&nbsp;<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Lengths of diagonals are:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$d_1 = 12$ in<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$d_2 = 15$ in<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The area of each kite is:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$A = \\frac{1}{2} \\times d_1 \\times d_2$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp; &nbsp; $= \\frac{1}{2} \\times 12 \\times 15$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp; &nbsp; $= 90 \\;in^2$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Since each kite is the same size, their combined area is equal to $4\\times90 = 360 \\;in^2$.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The four kites&#8217; combined surface area is $360 \\;in^2$.&nbsp;<\/p>\n\n\n\n<ol start=\"4\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Mike wants to offer his pal a kite-shaped chocolate box. He plans to cover the box&#8217;s top with a photo of himself and his friend. Find the area of the box&#8217;s top if the lid&#8217;s diagonals are <\/strong><strong>9 in<\/strong><strong> and<\/strong><strong> 12 in<\/strong><strong>.&nbsp;<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">d\u2081=9 in<\/p>\n\n\n\n<p class=\"eplus-wrapper\">d\u2082=12 in<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The area of the box&#8217;s top is equal to since the box is shaped like a kite.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$A = \\frac{1}{2} \\times d_1 \\times d_2$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$A = \\frac{1}{2} \\times 9 \\times 12$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, the box&#8217;s top surface area is $54\\;in^2$<\/p>\n\n\n\n<ol start=\"5\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Find the unknown angles of the given kite.<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Given that:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\angle JKL = 130^\\circ$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\angle JML = 50^\\circ$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"233\" height=\"309\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/a-kite-jklm.png\" alt=\"A kite JKLM\" class=\"wp-image-37149\" title=\"A kite JKLM\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/a-kite-jklm.png 233w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/a-kite-jklm-226x300.png 226w\" sizes=\"auto, (max-width: 233px) 100vw, 233px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Angles opposite to the main diagonal are congruent.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\angle KJM = \\angle KLM$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Hence, $\\angle KLM = 130^\\circ$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The sum of all angles of the quadrilateral $= 360^\\circ$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$130^\\circ + 130^\\circ + 50^\\circ + \\angle JML = 360^\\circ$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\angle JML = 50$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-practice-problems-on-properties-of-a-kite\">Practice Problems on Properties of a Kite<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Properties of a Kite: Definition, Examples, Facts, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">A kite has an area of $126\\; inches^2$ with a diagonal that is 21 inches long. Determine the length of the other diagonal. <\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">18 inches<\/div><div class=\"spq_answer_block\" data-value=\"1\">20 inches<\/div><div class=\"spq_answer_block\" data-value=\"2\">64 square units<\/div><div class=\"spq_answer_block\" data-value=\"3\">12 inches<\/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: 12 inches<br\/>Since the area of a kite is given by $A = \\frac{1}{2} \\times d_1 \\times d_2$<br>\r\nSo, $126, \\text{inches}^2 = \\frac{1}{2} \\times 21 \\times d_2$<br>\r\nLength of the other diagonal $= 12$ inches.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">The diagonals of a kite are ________.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">congruent<\/div><div class=\"spq_answer_block\" data-value=\"1\">perpendicular<\/div><div class=\"spq_answer_block\" data-value=\"2\">parallel<\/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: perpendicular<br\/>Diagonals of a kite are perpendicular.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Find the perimeter of a kite whose sides are 21 inches and 15 inches.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">100 inches<\/div><div class=\"spq_answer_block\" data-value=\"1\">72 inches<\/div><div class=\"spq_answer_block\" data-value=\"2\">All of the above<\/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: 72 inches<br\/>Since the perimeter of the kite$= 2(a + b) = 2(21 + 15) = 72$ inches.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">If a kite's diagonals are 12 units and 5 units respectively, what is its area?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$98\\;units$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$78\\;unit^2$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$20\\;unit^2$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$30\\;unit^2$<\/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: $30\\;unit^2$<br\/>Since area of kite $= \\frac{1}{2}\\times d_1 \\times d_2 = 12\\times12\\times5 = 30\\; units^2$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">Each interior of a convex kite is __________.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">less than $180^\\circ$<\/div><div class=\"spq_answer_block\" data-value=\"1\">more than $180^\\circ$<\/div><div class=\"spq_answer_block\" data-value=\"2\">less than $90^\\circ$<\/div><div class=\"spq_answer_block\" data-value=\"3\">more than $90^\\circ$<\/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: less than $180^\\circ$<br\/>Each interior angle of a convex kite measures less than $180^\\circ$.<\/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 knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Properties of a Kite: Definition, Examples, Facts, FAQs\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Properties of a Kite\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"A kite has an area of $$126\\\\; inches^2$$ with a diagonal that is 21 inches long. Determine the length of the other diagonal. \",\n                    \"text\": \"A kite has an area of $$126\\\\; inches^2$$ with a diagonal that is 21 inches long. Determine the length of the other diagonal. \",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Since the area of a kite is given by $$A = \\\\frac{1}{2} \\\\times d_1 \\\\times d_2$$<br>\r\nSo, $$126, \\\\text{inches}^2 = \\\\frac{1}{2} \\\\times 21 \\\\times d_2$$<br>\r\nLength of the other diagonal $$= 12$$ inches.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"18 inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Since the area of a kite is given by $$A = \\\\frac{1}{2} \\\\times d_1 \\\\times d_2$$<br>\r\nSo, $$126, \\\\text{inches}^2 = \\\\frac{1}{2} \\\\times 21 \\\\times d_2$$<br>\r\nLength of the other diagonal $$= 12$$ inches.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"20 inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Since the area of a kite is given by $$A = \\\\frac{1}{2} \\\\times d_1 \\\\times d_2$$<br>\r\nSo, $$126, \\\\text{inches}^2 = \\\\frac{1}{2} \\\\times 21 \\\\times d_2$$<br>\r\nLength of the other diagonal $$= 12$$ inches.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"64 square units\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Since the area of a kite is given by $$A = \\\\frac{1}{2} \\\\times d_1 \\\\times d_2$$<br>\r\nSo, $$126, \\\\text{inches}^2 = \\\\frac{1}{2} \\\\times 21 \\\\times d_2$$<br>\r\nLength of the other diagonal $$= 12$$ inches.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"12 inches\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Since the area of a kite is given by $$A = \\\\frac{1}{2} \\\\times d_1 \\\\times d_2$$<br>\r\nSo, $$126, \\\\text{inches}^2 = \\\\frac{1}{2} \\\\times 21 \\\\times d_2$$<br>\r\nLength of the other diagonal $$= 12$$ inches.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Since the area of a kite is given by $$A = \\\\frac{1}{2} \\\\times d_1 \\\\times d_2$$<br>\r\nSo, $$126, \\\\text{inches}^2 = \\\\frac{1}{2} \\\\times 21 \\\\times d_2$$<br>\r\nLength of the other diagonal $$= 12$$ inches.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The diagonals of a kite are ________.\",\n                    \"text\": \"The diagonals of a kite are ________.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Diagonals of a kite are perpendicular.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"congruent\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Diagonals of a kite are perpendicular.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"parallel\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Diagonals of a kite are perpendicular.\"\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\": \"Diagonals of a kite are perpendicular.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"perpendicular\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Diagonals of a kite are perpendicular.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Diagonals of a kite are perpendicular.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find the perimeter of a kite whose sides are 21 inches and 15 inches.\",\n                    \"text\": \"Find the perimeter of a kite whose sides are 21 inches and 15 inches.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Since the perimeter of the kite$$= 2(a + b) = 2(21 + 15) = 72$$ inches.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"100 inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Since the perimeter of the kite$$= 2(a + b) = 2(21 + 15) = 72$$ inches.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"All of the above\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Since the perimeter of the kite$$= 2(a + b) = 2(21 + 15) = 72$$ inches.\"\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\": \"Since the perimeter of the kite$$= 2(a + b) = 2(21 + 15) = 72$$ inches.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"72 inches\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Since the perimeter of the kite$$= 2(a + b) = 2(21 + 15) = 72$$ inches.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Since the perimeter of the kite$$= 2(a + b) = 2(21 + 15) = 72$$ inches.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If a kite's diagonals are 12 units and 5 units respectively, what is its area?\",\n                    \"text\": \"If a kite's diagonals are 12 units and 5 units respectively, what is its area?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Since area of kite $$= \\\\frac{1}{2}\\\\times d_1 \\\\times d_2 = 12\\\\times12\\\\times5 = 30\\\\; units^2$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$98\\\\;units$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Since area of kite $$= \\\\frac{1}{2}\\\\times d_1 \\\\times d_2 = 12\\\\times12\\\\times5 = 30\\\\; units^2$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$78\\\\;unit^2$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Since area of kite $$= \\\\frac{1}{2}\\\\times d_1 \\\\times d_2 = 12\\\\times12\\\\times5 = 30\\\\; units^2$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$20\\\\;unit^2$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Since area of kite $$= \\\\frac{1}{2}\\\\times d_1 \\\\times d_2 = 12\\\\times12\\\\times5 = 30\\\\; units^2$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$30\\\\;unit^2$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Since area of kite $$= \\\\frac{1}{2}\\\\times d_1 \\\\times d_2 = 12\\\\times12\\\\times5 = 30\\\\; units^2$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Since area of kite $$= \\\\frac{1}{2}\\\\times d_1 \\\\times d_2 = 12\\\\times12\\\\times5 = 30\\\\; units^2$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Each interior of a convex kite is __________.\",\n                    \"text\": \"Each interior of a convex kite is __________.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Each interior angle of a convex kite measures less than $$180^\\\\circ$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"more than $$180^\\\\circ$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Each interior angle of a convex kite measures less than $$180^\\\\circ$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"less than $$90^\\\\circ$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Each interior angle of a convex kite measures less than $$180^\\\\circ$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"more than $$90^\\\\circ$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Each interior angle of a convex kite measures less than $$180^\\\\circ$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"less than $$180^\\\\circ$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Each interior angle of a convex kite measures less than $$180^\\\\circ$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Each interior angle of a convex kite measures less than $$180^\\\\circ$$.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-frequently-asked-questions-on-properties-of-a-kite\">Frequently Asked Questions on Properties of a Kite<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-80368422-9b5e-43c9-bbae-86ab2417d294\" 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-0-80368422-9b5e-43c9-bbae-86ab2417d294\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-80368422-9b5e-43c9-bbae-86ab2417d294\"><strong>Is every kite a rhombus?<\/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-0-80368422-9b5e-43c9-bbae-86ab2417d294\">\n\n<p class=\"eplus-wrapper\">No, all kites are not rhombuses. When all sides of a kite are congruent, it becomes a rhombus.<\/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-1-80368422-9b5e-43c9-bbae-86ab2417d294\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-80368422-9b5e-43c9-bbae-86ab2417d294\"><strong>Which quadrilateral has properties of a kite and a parallelogram?<\/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-1-80368422-9b5e-43c9-bbae-86ab2417d294\">\n\n<p class=\"eplus-wrapper\">Rhombus<\/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-2-80368422-9b5e-43c9-bbae-86ab2417d294\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-80368422-9b5e-43c9-bbae-86ab2417d294\"><strong>Is a kite a parallelogram?<\/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-2-80368422-9b5e-43c9-bbae-86ab2417d294\">\n\n<p class=\"eplus-wrapper\">No, a kite is not a parallelogram. The opposite sides in a parallelogram are parallel. In a kite, there are no parallel sides.<\/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-3-80368422-9b5e-43c9-bbae-86ab2417d294\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-80368422-9b5e-43c9-bbae-86ab2417d294\"><strong>How many lines of symmetry does a kite 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-3-80368422-9b5e-43c9-bbae-86ab2417d294\">\n\n<p class=\"eplus-wrapper\">A kite has only one line of symmetry, which is the longer diagonal.<\/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-4-80368422-9b5e-43c9-bbae-86ab2417d294\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-80368422-9b5e-43c9-bbae-86ab2417d294\"><strong>What are the four important properties of a kite?<\/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-4-80368422-9b5e-43c9-bbae-86ab2417d294\">\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Two pairs of adjacent sides are equal.&nbsp;<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Two diagonals intersect each other at right angles.&nbsp;<\/li>\n\n\n\n<li class=\"eplus-wrapper\">The longer diagonal bisects the shorter diagonal.&nbsp;<\/li>\n\n\n\n<li class=\"eplus-wrapper\">The angles opposite to the main diagonal are equal.<\/li>\n<\/ul>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Are the Properties of a Kite? Properties of a kite are the distinct characteristics or features of the kite shape, its vertices, interior angles, sides, diagonals that makes it a unique shape.&nbsp; You\u2019re probably familiar with a kite as a fun paper toy that soars high in the sky wherever the wind carries it. &#8230; <a title=\"Properties of a Kite: Definition, Examples, Facts, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/properties-of-a-kite\" aria-label=\"More on Properties of a Kite: Definition, 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-27455","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\/27455","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=27455"}],"version-history":[{"count":13,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/27455\/revisions"}],"predecessor-version":[{"id":37150,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/27455\/revisions\/37150"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=27455"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=27455"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=27455"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}