Question

Ethan transformed quadrilateral ABCD to make quadrilateral A’B’C’D’.Are quadrilaterals ABCD and A’B’C’D’ congruent? Why or why not?

Answer 1

Given that the quadrilateral ABCD was translated to A'B'C'D'

Yes, the quadrilaterals ABCD and A'B'C'D' are congruent because:

1. The quadrilaterals ABCD and A'B'C'D' have the same shape as a trapezium

2. The corresponding sides of ABCD and A'B'C'D' are equal, consequently, the corresponding angles are equal.