Can we say that a Kite is a Parallelogram? In other words, the diagonals of a kite bisect each other at right angles. Yes, a kite has 90° angles at the point of intersection of the two diagonals.

These two opposite angles are equal in a kite. The point at which the two pairs of unequal sides meet makes two angles that are opposite to each other. No, a kite has only one pair of equal angles. The longer diagonal of a kite forms two congruent triangles.

The shorter diagonal of a kite forms two isosceles triangles.One diagonal bisects the other diagonal.The two diagonals of a kite are perpendicular to each other.The important properties of kite diagonals are as follows: There are two diagonals in a kite that are not of equal length. What are the Properties of the Diagonals of a Kite? The area of a kite is equal to half of the product of the length of its diagonals.The longer diagonal of the kite bisects the shorter diagonal.The diagonals of a kite are perpendicular to each other.The important characteristics of a kite are as follows. What are the Properties of a Kite Shape?Ī kite is a quadrilateral with two equal and two unequal sides. In these angles, it has one pair of opposite angles that are obtuse angles and are equal. After substituting the values in the formula, we get, Area of kite = 1/2 × 7 × 4 = 14 unit 2 What are the Angles of a Kite Shape?Ī kite has 4 interior angles and the sum of these interior angles is 360°. For example, if the lengths of the diagonals of a kite are given as 7 units and 4 units respectively, we can find its area. It can be calculated using the formula, Area of kite = 1/2 × diagonal 1 × diagonal 2. The area of a kite is the space occupied by it. It is symmetrical in shape and can be imagined as the real kite which is used for flying. The shape of a kite is a unique one that does not look like a parallelogram or a rectangle because none of its sides are parallel to each other. It is a shape in which the diagonals intersect each other at right angles. In Geometry, a kite is a quadrilateral in which 2 pairs of adjacent sides are equal. The area of a kite is half the product of its diagonals.įAQs on Properties of Kite What is a Kite in Geometry?.A kite satisfies all the properties of a cyclic quadrilateral.Some important points about a kite are given below. Can a kite have sides of 12 units, 25 units, 13 units, and 25 units?.This is because the three sides of one triangle to the left of the longer diagonal are congruent to the sides of the triangle to the right of the longer diagonal. 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. 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. One pair of non-adjacent angles (the obtuse angles) are equal.Īs we have discussed in the earlier section, a kite has 2 diagonals.The 4 interior angles of a kite always sum up to 360° as in the case of every quadrilateral.Here are the features of the angles of a kite. The sum of the interior angles of a kite is equal to 360°.Īs discussed in the properties of a kite, we know that a kite has 4 interior angles.

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.

Kite geometry theorems