Question

A quadrilateral that is not a parallelogram but has exactly two opposite angles of equal measure is __________.

Answer 1

Explanation:

A kite is a quadrilateral that has two pairs of equal-length sides and these sides are adjacent to each other.

Properties:

• The two angles are equal where the unequal sides meet.
• It can be viewed as a pair of congruent triangles with a common base.
• It has two diagonals that intersect each other at right angles.
• The longer or main diagonal bisects the other diagonal.
• A kite is symmetrical about its main diagonal.
• The shorter diagonal divides the kite into two isosceles triangles.

For example, the quadrilateral $ABCD$is a kite in which $\angle ABC=\angle ADC$as shown below,