Question

triangle vwx and triangle nwo are drawn below. if $overline{vw}congoverline{nw}$, $overline{vx}congoverline{no}$, and $angle vcongangle n$, use the dropdown boxes below to determine a transformation that maps triangle vwx onto triangle nwo. then use a congruence statement to explain why this is possible.

Explanation:

Step1: Identify the transformation

By observing the position of the triangles, we can see that a rotation about point $W$ will map $\triangle VWX$ onto $\triangle NWO$.

Step2: State the congruence - criterion

We are given that $\overline{VW}\cong\overline{NW}$, $\overline{VX}\cong\overline{NO}$, and $\angle V\cong\angle N$. By the Side - Angle - Side (SAS) congruence criterion, $\triangle VWX\cong\triangle NWO$.

Answer:

The transformation is a rotation about point $W$. The congruence statement is $\triangle VWX\cong\triangle NWO$ by the SAS congruence criterion.