Kite

Definition of Kite

• A kite is a quadrilateral with two distinct pairs of adjacent sides that are congruent.

Examples of Kite

• The figure below shows a kite.

More about Kite

• A kite has exactly one pair of equal angles.

• A kite has one line of symmetry.
• The diagonals of a kite intersect at right angles.

          

                                             

Solved Example on Kite

Find the area of the kite. Measurements shown are in cm. [Given x = 12 and y = 16.]

Choices:

A.

B.

C.

D.

Correct Answer: B

Solution:

Step 1: Triangle ABE is a right triangle.

[Diagonals of a kite are perpendicular.]

Step 2: Area of the triangle ABE =

Step 3: Area of the triangle ACE = Area of the triangle ABE = 96 cm².

[ΔABE and ΔAEC are congruent triangles.]

Step 4: Triangle BED is a right triangle.

[Diagonals of a kite are perpendicular.]

Step 5: Area of the triangle BED =

Step 6: Area of the triangle DEC = Area of the triangle BED = .

[Triangle BED and Triangle CED are congruent triangles.]

Step 7: Area of kite = Area of triangle ABE + Area of triangle ACE + Area of triangle BED + Area of the triangle CED = 96 + 96 + 72 + 72 = . 

Related Terms for Kite

• Quadrilateral
• Adjacent
• Congruent

Additional Links for Kite

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