Question

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

Explanation:

Step1: Match right - angled vertices

$\angle D$ and $\angle Y$ are right - angles, so $\angle D\cong\angle Y$.

Step2: Match angles of equal measure

$\angle C = 29^{\circ}$ and $\angle X=29^{\circ}$, so $\angle C\cong\angle X$.

Step3: Match sides of equal length

$DE = 20$ km and $YW = 20$ km, so $\overline{DE}\cong\overline{YW}$.

Step4: Incorrect angle match

$\angle C = 29^{\circ}$ and $\angle W = 61^{\circ}$, so $\angle C
ot\cong\angle W$.

Answer:

$\angle D\cong\angle Y$, $\angle C\cong\angle X$, $\overline{DE}\cong\overline{YW}$