Question

are these shapes congruent?

Explanation:

Step1: Recall congruence criteria

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

Step2: Check corresponding sides

In $\triangle EFG$ and $\triangle PQR$, side $EF = 8$ yd, $FG=17$ yd, $EG = 15$ yd and side $PQ = 8$ yd, $QR = 17$ yd, $PR=15$ yd. The corresponding sides are equal.

Step3: Check corresponding angles

$\angle E=90^{\circ}$, $\angle F = 62^{\circ}$, $\angle G=28^{\circ}$ and $\angle P = 90^{\circ}$, $\angle Q=62^{\circ}$, $\angle R=28^{\circ}$. The corresponding angles are equal.

Answer:

yes