Question

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

Explanation:

Step1: Identify corresponding sides

Compare the lengths and positions of sides. $\overline{GD}$ has length \(15\) yd and $\overline{TU}$ has length \(15\) yd. So, $\overline{GD}\cong\overline{TU}$. $\overline{FG}$ has length \(10\) yd and $\overline{ST}$ has length \(10\) yd. So, $\overline{FG}\cong\overline{ST}$.

Step2: Identify corresponding angles

Compare the measures and positions of angles. $\angle E = 53^{\circ}$ and $\angle T=53^{\circ}$, so $\angle E\cong\angle T$. $\angle F = 98^{\circ}$ and $\angle V = 98^{\circ}$, so $\angle F\cong\angle V$.

Answer:

$\overline{GD}\cong\overline{TU}$, $\angle E\cong\angle T$, $\angle F\cong\angle V$, $\overline{FG}\cong\overline{ST}$