温馨提示：本站仅提供公开网络链接索引服务，不存储、不篡改任何第三方内容，所有内容版权归原作者所有
AI智能索引来源：http://www.edu.com/math-glossary/Properties-Of-A-Kite-Definition-Examples
点击访问原文链接

Properties of A Kite: Definition and Examples | EDU.COM

进入原网站 导航首页
Properties of A Kite: Definition and Examples | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">Properties of A KiteProperties of A Kite: Definition and ExamplesTable of ContentsProperties of a Kite Definition of Kite in Geometry

A kite is a quadrilateral with two pairs of adjacent sides that are equal in length. This unique shape is characterized by its diagonals meeting at right angles. Kites have distinct properties related to their sides, angles, and diagonals that make them different from other quadrilaterals.

There are two main types of kites: convex and concave. In a convex kite, each interior angle measures less than 180∘180^\circ180∘, giving it the traditional kite-like appearance. A concave kite, also known as a dart or arrowhead, has one interior angle greater than 180∘180^\circ180∘, creating an inward "dent" in its shape.

Properties of a Kite Explained

A kite has several key properties:

Two pairs of adjacent sides are equal Diagonals intersect at right angles The longer diagonal bisects the shorter diagonal The longer diagonal bisects opposite angles Angles opposite to the main diagonal are equal The kite is symmetrical about the longer diagonal The shorter diagonal splits the kite into two isosceles triangles The longer diagonal divides the kite into two congruent triangles Area of a kite =12×d1×d2= \frac{1}{2} \times d_1 \times d_2=21​×d1​×d2​, where d1d_1d1​ and d2d_2d2​ are the lengths of diagonals Perimeter of a kite with sides aaa and bbb is 2(a+b)2(a+b)2(a+b) The sum of interior angles equals 360∘360^\circ360∘ Examples of Kite Properties Example 1: Finding the Area of a Kite Using Diagonals Problem:

Find the area of a kite whose diagonals are 6 and 18 inches long.

Step-by-step solution:

Step 1, Write down the formula for the area of a kite. The area equals half the product of the two diagonals.

Area of a kite=d1×d22\text{Area of a kite} = \frac{d_1 \times d_2}{2}Area of a kite=2d1​×d2​​

Step 2, Put the values of the diagonals into the formula.

Area=6×182\text{Area} = \frac{6 \times 18}{2}Area=26×18​

Step 3, Multiply the numbers in the numerator first.

Area=1082\text{Area} = \frac{108}{2}Area=2108​

Step 4, Divide to get the final answer.

Area=54 square inches\text{Area} = 54 \text{ square inches}Area=54 square inches Example 2: Finding Missing Sides and Angles in a Kite Problem:

Find:

a) PR b) RS c) ∠PRS\angle PRS∠PRS

Finding Missing Sides and Angles in a Kite

Step-by-step solution:

Step 1, Remember that two pairs of adjacent sides of a kite are equal. In our kite PQSR, the pairs are PQ = PR and QS = RS.

Step 2, Find the length of PR. Since PQ = 5 units and PQ = PR (from the property of a kite), we can say PR = 5 units.

Step 3, Find the length of RS. Since QS = 10 units and QS = RS (from the property of a kite), we can say RS = 10 units.

Step 4, Find the measure of ∠PRS\angle PRS∠PRS. Recall that angles opposite to the main diagonal are equal. Since ∠PQS\angle PQS∠PQS = 109°, and ∠PQS\angle PQS∠PQS and ∠PRS\angle PRS∠PRS are opposite angles, ∠PRS\angle PRS∠PRS = 109°.

Example 3: Finding the Total Area of Multiple Kites Problem:

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.

Step-by-step solution:

Step 1, Write down the given information about the diagonals.

d1=12 inchesd_1 = 12 \text{ inches}d1​=12 inches d2=15 inchesd_2 = 15 \text{ inches}d2​=15 inches

Step 2, Calculate the area of one kite using the formula.

Area of one kite=12×d1×d2\text{Area of one kite} = \frac{1}{2} \times d_1 \times d_2Area of one kite=21​×d1​×d2​ Area of one kite=12×12×15\text{Area of one kite} = \frac{1}{2} \times 12 \times 15Area of one kite=21​×12×15

Step 3, Multiply the numbers.

Area of one kite=12×180\text{Area of one kite} = \frac{1}{2} \times 180Area of one kite=21​×180 Area of one kite=90 square inches\text{Area of one kite} = 90 \text{ square inches}Area of one kite=90 square inches

Step 4, Find the total area of four identical kites.

Total area=4×90\text{Total area} = 4 \times 90Total area=4×90 Total area=360 square inches\text{Total area} = 360 \text{ square inches}Total area=360 square inches Comments(1)MRMs. RodriguezNovember 4, 2025This glossary page on properties of a kite is great! It helped my students grasp the concepts easily. Thanks for the clear examples!

Explore More TermsMilliliter to LiterPowers of TenProperties of Whole NumbersRound to the Nearest ThousandOctagonal PrismSubtraction With RegroupingView All Math TermsRecommended Interactive LessonsMultiply by 03Math3.OA.C.7Find the Missing Numbers in Multiplication Tables3Math3.OA.D.9Write Division Equations for Arrays3Math3.OA.A.2Divide by 33Math3.OA.C.7Divide by 63Math3.OA.C.7Divide by 83Math3.OA.C.7View All Interactive LessonsRecommended VideosIdentify Groups of 10KMathK.NBT.A.1Write four-digit numbers in three different forms3Math3.NBT.AMultiply Mixed Numbers by Whole Numbers4Math4.NF.B.4bWord problems: addition and subtraction of fractions and mixed numbers5Math5.NF.A.2Compare decimals to thousandths5Math5.NBT.A.3bWrite Equations For The Relationship of Dependent and Independent Variables6Math6.EE.C.9View All VideosRecommended WorksheetsSubtraction Within 10KMathK.OA.A.2, K.OA.A.5Count on to Add Within 201Math1.OA.C.5, 1.OA.C.6Sort and Describe 3D Shapes1Math1.G.A.1Identify And Count Coins2Math2.MD.C.8Identify Quadrilaterals Using Attributes3Math3.G.A.1Use Models and The Standard Algorithm to Multiply Decimals by Whole Numbers5Math5.NBT.B.7View All WorksheetsRecommended Coloring PagesHot chocolate mug with steam risingPre-K – KAll SubjectsElf reading a scroll in an enchanted forest1 – 2All SubjectsPolar bear family with a snowman they built1 – 2All SubjectsApple pie on a Thanksgiving dinner table with various dishes and candles5 – 6All SubjectsTwo piglets interacting with a farmer who is feeding them, with a detailed scene of farm equipment and animals in the background5 – 6All SubjectsPrincess on a grand staircase with a glass slipper in her hand, surrounded by intricate details of the palace5 – 6All SubjectsView All Coloring PagesRecommended BlogsVR Education: Building Equitable Learning for All K-6 StudentsNovember 11, 2025Nearpod Cheats: Smart Ways to Maximize Learning SuccessOctober 15, 2025Hiragana Keyboard Setup Guide for K-6 Japanese LearningOctober 14, 2025Exploring the Antonym of Tutor: Understanding Independent LearningOctober 12, 2025Tutoring Vacation: 5 Smart Ways to Keep Kids LearningOctober 12, 2025Changes to the ACT: What K-6 Families Need to KnowOctober 11, 2025View All Blog PostsQUICK LINKSAbout UsPrivacy PolicyTerms of ServiceTOOLSHomework HelperGuide DesignerPodcast MakerPlan BuilderRESOURCESMath GlossaryEnglish GlossaryEnglish Language ArtsMathematicsScienceBook InsightsFun with WordsBlog© 2025 EDU.COM. All rights reserved.

智能索引记录