Question

what are the corresponding parts of the figures below? select all that apply.

Explanation:

Step1: Match angles

Angles with the same measure are corresponding. $\angle P = 80^{\circ}$ and $\angle V=80^{\circ}$, so $\angle P\cong\angle V$. $\angle R = 61^{\circ}$ and $\angle X = 61^{\circ}$, $\angle Q=39^{\circ}$ and $\angle W = 39^{\circ}$.

Step2: Match sides

Sides opposite to corresponding angles are corresponding. Side $RP$ of length 18 m is opposite $\angle Q$, and side $XV$ of length 18 m is opposite $\angle W$, so $\overline{RP}\cong\overline{XV}$. Side $PQ$ of length 25 m is opposite $\angle R$, and side $VW$ of length 25 m is opposite $\angle X$, so $\overline{PQ}\cong\overline{VW}$. Side $QR$ of length 29 m is opposite $\angle P$, and side $WX$ of length 29 m is opposite $\angle V$, so $\overline{QR}\cong\overline{WX}$.

Answer:

$\overline{RP}\cong\overline{XV}$, $\overline{PQ}\cong\overline{VW}$, $\overline{QR}\cong\overline{WX}$, $\angle P\cong\angle V$