Write the properties of Kite
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Answer: pls mark brainlest
Properties of Kite
A kite is a quadrilateral that has 2 pairs of equal adjacent sides. The angles where the adjacent pairs of sides meet are equal. There are two types of kites- convex kites and concave kites. Convex kites have all their interior angles less than 180°, whereas, concave kites have at least one of the interior angles greater than 180°.
A kite has two pairs of adjacent equal sides. Here, AC = BC and AD = BD.
It has one pair of opposite angles (obtuse) that are equal. Here, ∠A = ∠B
In the diagonal AB, AO = OB.
The shorter diagonal forms two isosceles triangles. Here, diagonal 'AB' forms two isosceles triangles: ∆ACB and ∆ADB. The sides AC and BC are equal and AD and BD are equal which form the two isosceles triangles.
The longer diagonal forms two congruent triangles. Here, diagonal 'CD' forms two congruent triangles - ∆CAD and ∆CBD by SSS criteria. This is because the lengths of three sides of ∆CAD are equal to the lengths of three sides of ∆CBD.
The diagonals are perpendicular to each other. Here, AB ⊥ CD.
The longer diagonal bisects the shorter diagonal.
The longer diagonal bisects the pair of opposite angles. Here, ∠ACD = ∠DCB, and ∠ADC = ∠CDB
The area of a kite is half the product of its diagonals. (Area = 1/2 × diagonal 1 × diagonal 2).
The perimeter of a kite is equal to the sum of the length of all of its sides.
The sum of the interior angles of a kite is equal to 360