Question

if △lmn ≅ △vwx, what are the corresponding parts? select all that apply. ml ≅ xw nl ≅ vw nl ≅ xv ∠n ≅ ∠v

Explanation:

Step1: Recall congruent - triangle property

When $\triangle LMN\cong\triangle VWX$, vertices $L$ corresponds to $V$, $M$ corresponds to $W$, and $N$ corresponds to $X$. Sides and angles with corresponding vertices are congruent.

Step2: Check side - congruence

For sides, $\overline{ML}$ has endpoints $M$ and $L$, and $\overline{XW}$ has endpoints $X$ and $W$. Since $M$ corresponds to $W$ and $L$ corresponds to $V$ and $X$ corresponds to $N$, $\overline{ML}\cong\overline{XW}$. Also, $\overline{NL}$ has endpoints $N$ and $L$, and $\overline{XV}$ has endpoints $X$ and $V$. Since $N$ corresponds to $X$ and $L$ corresponds to $V$, $\overline{NL}\cong\overline{XV}$.

Step3: Check angle - congruence

$\angle N$ corresponds to $\angle X$, not $\angle V$. And $\overline{NL}$ is not congruent to $\overline{VW}$ as the correct correspondences do not match.

Answer:

$\overline{ML}\cong\overline{XW}$, $\overline{NL}\cong\overline{XV}$