Similar Figures Examples Page 1

Quadrilaterals ABCD and EFGH are congruent (ABCD ≅ EFGH). Find the measure of each missing angle and side.

The shapes have been rotated, so we need to read the order of the points to find the corresponding angles (ABCD ≅ EFGH). This means that A corresponds to E, B corresponds to F, C corresponds to G, and D corresponds to H. Since the corresponding angles are congruent:

This is also true for the corresponding sides: