# Do the diagonals of a kite bisect the angles?

**diagonals of a kite**form 90 degree (right)

**angles**. This means that they are perpendicular. The longer

**diagonal of a kite bisects**the shorter one.

Similarly, do the diagonals of a kite bisect each other?

Two easy ways: If two distinct pairs of consecutive sides of the quadrilateral are congruent, then it's a **kite**. If one of the **diagonals bisects** the **other diagonal** at a perpendicular angle, it's a **kite**.

**diagonals of a rectangle**will only

**bisect the angles**if the sides that meet at the

**angle**are equal: in other words, only if the

**rectangle**is a square. Another way to think of it: the

**angle**is a right-

**angle**, and the

**angle**bisector must come out at a half right-

**angle**to the sides.

Correspondingly, do the diagonals of a trapezium bisect the angles?

A **trapezium** or a **trapezoid** is a quadrilateral with a pair of parallel sides. Two **angles** on the same side are supplementary, that is the sum of the **angles** of two adjacent sides is equal to 180°. Its **diagonals bisect** with each other. The length of the mid-segment is equal to 1/2 the sum of the bases.

**Kite properties** include (1) two pairs of consecutive, congruent sides, (2) congruent non-vertex angles and (3) perpendicular diagonals. Other important polygon **properties** to be familiar with include trapezoid **properties**, parallelogram **properties**, rhombus **properties**, and rectangle and square **properties**.