Because of this balance, a kite possesses two similar inclinations and two sets of adjacent. One of the diagonals in a kite bisects its non-congruent angles. A kite is a quadrilateral exhibiting mirror balance when folded. Diagonal AC is the perpendicular bisector of diagonal BD.ĭiagonals that bisect the angles of a kite Therefore, diagonals AC and BD are perpendicular. Based on this, we know that line segment from A and C to the midpoint of BD is the heights of △ABD and △CBD. Therefore, △ABD and △CBD are isosceles triangles that share a base, BD. Diagonals of a kiteĭiagonals are perpendicular to each other:įor kite ABCD shown above, BA ≅ DA and BC ≅ DC. Sides AB and BC and sides CD and DA are adjacent non-congruent sides for kite ABCD above, so ∠B≅∠D. Two pairs of adjacent sides of a kite are congruent. The dart is a non-convex quadrilateral whose four interior angles are 36, 72, 36, and 216 degrees. A quadrilateral is defined as a closed polygon with four vertices, four sides, and four angles. The kite may be bisected along its axis of symmetry to form a pair of acute Robinson triangles (with angles of 36, 72 and 72 degrees). If a kite is concave, it is called a dart. From the definition, a kite could be concave. The angles formed by the adjacent, non-congruent sides of the kite are congruent. The kite is a quadrilateral whose four interior angles are 72, 72, 72, and 144 degrees. It looks like a kite that flies in the air. Unlike a parallelogram the congruent pairs of sides are not opposite of each other.įor kite ABCD above, congruent sides BC and CD are adjacent to each other as are congruent sides AB and AD. Like a parallelogram, a kite has two pairs of congruent sides. Because of this symmetry, a kite has two equal angles and two pairs of adjacent equal-length sides. ![]() Sides and angles of a kite Sides of a kite In Euclidean geometry, a kite is a quadrilateral with reflection symmetry across a diagonal. You may think of the kite that can fly, like the one below, when you think of the shape of a kite. The rectangle and rhombus are not a square. ![]() A square is a rectangle as well as a rhombus. Some points about quadrilaterals to be kept in mind are: Square, rectangle, and rhombus are types of parallelograms. These equal sides share a vertex, or "corner." By definition, a kite shape may be either convex or concave, but it is often shown only in its convex form. It is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other. In mathematics, a kite shape is a quadrilateral with two pairs of sides that are of equal length.
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