Question

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

Explanation:

Step1: Identify equal - length sides

By comparing the lengths of the sides of the two figures, we see that side $QN$ with length $42$m in the first figure and side $TU$ with length $42$m in the second figure are equal, so $\overline{QN}\cong\overline{TU}$.

Step2: Identify equal - measure angles

By looking at the angles marked with the same number of arcs:

• $\angle N$ and $\angle U$ are marked with one arc, so $\angle N\cong\angle U$.
• $\angle P$ and $\angle W$ are marked with two arcs, so $\angle P\cong\angle W$.
• $\angle Q$ and $\angle T$ are marked with three arcs, so $\angle Q\cong\angle T$.

Answer:

$\angle N\cong\angle U$, $\overline{QN}\cong\overline{TU}$, $\angle P\cong\angle W$, $\angle Q\cong\angle T$