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. 168 cm2
B. 336 cm2
C. 240 cm2
D. 264 cm2
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 = 72 cm2. [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 = 336 cm2

Related Terms for Kite

  • Quadrilateral
  • Adjacent
  • Congruent