Question

if rqpo ≅ uvwx, what are the corresponding parts? select all that apply.
(overline{po}congoverline{vw}) (overline{pq}congoverline{ux}) (overline{or}congoverline{vw}) (angle rcongangle u)

Explanation:

Step1: Identify corresponding vertices

When $RQPO\cong UVWX$, the vertices correspond as follows: $R$ to $U$, $Q$ to $V$, $P$ to $W$, $O$ to $X$.

Step2: Determine corresponding sides and angles

For sides, $\overline{PO}$ corresponds to $\overline{WX}$, $\overline{PQ}$ corresponds to $\overline{WU}$, $\overline{OR}$ corresponds to $\overline{XV}$, $\overline{RQ}$ corresponds to $\overline{UV}$. For angles, $\angle R$ corresponds to $\angle U$, $\angle Q$ corresponds to $\angle V$, $\angle P$ corresponds to $\angle W$, $\angle O$ corresponds to $\angle X$.

Step3: Check given options

• $\overline{PO}\cong\overline{VW}$ is incorrect as $\overline{PO}$ corresponds to $\overline{WX}$.
• $\overline{PQ}\cong\overline{UX}$ is incorrect as $\overline{PQ}$ corresponds to $\overline{WU}$.
• $\overline{OR}\cong\overline{VW}$ is incorrect as $\overline{OR}$ corresponds to $\overline{XV}$.
• $\angle R\cong\angle U$ is correct as they are corresponding angles.

Answer:

$\angle R\cong\angle U$