Question

what are the corresponding parts of the figures below? select all that apply. ∠m ≅ ∠v
overline{ml} ≅ overline{vw}
overline{km} ≅ overline{xv}
overline{ml} ≅ overline{xv}

Explanation:

Step1: Analyze triangle congruence

Since the two triangles are congruent (by the markings of equal sides and right angles), we check each option for corresponding parts.

• For $\angle M\cong\angle V$: In the first triangle, $\angle M = 63^{\circ}$, in the second triangle, $\angle V=63^{\circ}$ (as corresponding angles of congruent triangles).
• For $\overline{ML}\cong\overline{VW}$: $\overline{ML}$ in the first triangle and $\overline{VW}$ in the second triangle are corresponding sides (marked with two - tick marks).
• For $\overline{KM}\cong\overline{XV}$: $\overline{KM}$ in the first triangle and $\overline{XV}$ in the second triangle are not corresponding sides (incorrect pairing).
• For $\overline{ML}\cong\overline{XV}$: $\overline{ML}$ and $\overline{XV}$ are not corresponding sides (incorrect pairing).

Answer:

$\angle M\cong\angle V$, $\overline{ML}\cong\overline{VW}$