Question

can you prove these shapes are congruent? side lengths and angle measures of similar figures determine if two figures are similar: justify side lengths of similar figures

Explanation:

Step1: Recall congruence criteria

Two polygons are congruent if their corresponding sides and corresponding angles are equal.

Step2: Check corresponding sides

In the first quadrilateral \(GHIJ\) and the second quadrilateral \(STUV\), we have \(GJ = SV=17\) mm and \(GH = ST = 27\) mm. Also, since all the indicated angles are right - angles (90°), all corresponding angles are equal.

Step3: Determine congruence

Since all corresponding sides and all corresponding angles are equal, the two shapes are congruent.

Answer:

yes