Unit 2, Lesson 9
Side-Side-Side Triangle Congruence
Geometry
Practice
Problem 1
A kite is a quadrilateral which has 2 sides next to each other that are congruent and where the other 2 sides are also congruent. Given kite \(WXYZ\), show that at least one of the diagonals of a kite decomposes the kite into 2 congruent triangles.
Problem 2
Mai has proven that triangle \(WYZ\) is congruent to triangle \(WYX\) using the Side-Side-Side Triangle Congruence Theorem. Why can she now conclude that diagonal \(WY\) bisects angles \(ZWX\) and \(ZYX\)?