Step-by-step explanation:
+) Polygons ABCD has: A(-7;4); B(-5;7); C(-3;4); D(-5; 1)
+) Polygons A'B'C'D' has: A'(-9;0); B'(-7;3); C'(-5;0); D'(-7;-3)
The side lengths of ABCD:
The side lengths of A'B'C'D':
So that side lengths of ABCD equal to those of A'B'C'D'.
However, this is not enough to said that they are congruent polygons, as 2 polygons are congruent when they have all corresponding sides and interior angles are congruent.
ABCD and A'B'C'D' have all corresponding sides congruent.
=> <em>So that "all corresponding interior angles are congruent" must be true for them to be congruent polygons</em>