Do the diagonals of a kite bisect the angles?
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.
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.