![]() ![]() ![]() ![]() The longer diagonal of a kite forms two congruent triangles by the SSS property of congruence.This is because an isosceles triangle has two congruent sides, and a kite has two pairs of adjacent congruent sides. The shorter diagonal of a kite forms two isosceles triangles.A pair of diagonally opposite angles of a kite are said to be congruent.It can be observed that the longer diagonal bisects the shorter diagonal. The diagonals of a kite intersect each other at right angles.The two diagonals are not of the same length.The important properties of the diagonals of a kite are given below. The sum of the interior angles of a kite is equal to 360°.Īs we have discussed in the earlier section, a kite has 2 diagonals.The perimeter of a kite is equal to the sum of the length of all of its sides.The area of a kite is half the product of its diagonals.The longer diagonal bisects the pair of opposite angles.The longer diagonal bisects the shorter diagonal.The diagonals are perpendicular to each other.This is because the lengths of three sides of ∆CAD are equal to the lengths of three sides of ∆CBD. Here, diagonal 'CD' forms two congruent triangles - ∆CAD and ∆CBD by SSS criteria. The longer diagonal forms two congruent triangles.The sides AC and BC are equal and AD and BD are equal which form the two isosceles triangles. Here, diagonal 'AB' forms two isosceles triangles: ∆ACB and ∆ADB. The shorter diagonal forms two isosceles triangles.It has one pair of opposite angles (obtuse) that are equal.A kite has two pairs of adjacent equal sides.We can identify and distinguish a kite with the help of the following properties: Observe the following kite ACBD to relate to its properties given below. The longer diagonal of a kite bisects the shorter one. A kite is a quadrilateral that has two pairs of consecutive equal sides and perpendicular diagonals. ![]()
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