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QUESTION IMAGE

can you prove these shapes are congruent? yes no

Question

can you prove these shapes are congruent? yes no

Explanation:

Step1: Recall congruence criterion

Two triangles are congruent if all three - sides are equal (SSS - Side - Side - Side criterion).

Step2: Check side - lengths

In $\triangle QRS$, $QS = 47$ in, $QR = 47$ in, $RS = 47$ in. In $\triangle VWX$, $VW = 47$ in, $VX = 47$ in, $WX = 47$ in.

Step3: Apply SSS criterion

Since $QS=VW$, $QR = VX$, and $RS = WX$, by the SSS congruence criterion, $\triangle QRS\cong\triangle VWX$.

Answer:

yes