are these shapes congruent? yes no

are these shapes congruent? yes no

are these shapes congruent? yes no

Answer

Answer:

no

Explanation:

Step1: Check side - lengths

In quadrilateral (ABCD), side (AB = 44m), side (BC=26m), side (CD = 19m), side (DA = 26m). In quadrilateral (OPQR), side (OP = 49m), side (PQ = 26m), side (QR = 25m), side (RO = 26m). Since (AB\neq OP) and (CD\neq QR), the side - lengths are not equal.

Step2: Recall congruence definition

Two shapes are congruent if all corresponding sides and angles are equal. Since the corresponding side - lengths are not equal, the two quadrilaterals are not congruent.