Question

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

Explanation:

Step1: Identify the corresponding sides

In the two figures, we check the lengths of the sides. \(DC = 10\) in and \(TU=10\) in, so \(\overline{DC}\cong\overline{TU}\). Also, \(ST = 48\) in and \(DC = 10\) in, so \(\overline{DC}
ot\cong\overline{ST}\) (this is a wrong initial check in the problem's given options, but we follow the correct side - angle correspondence).

Step2: Identify the corresponding angles

For angles, \(\angle D = 104^{\circ}\) and \(\angle T=104^{\circ}\), so \(\angle D\cong\angle T\). \(\angle B = 121^{\circ}\) and \(\angle V = 121^{\circ}\), so \(\angle B\cong\angle V\)

Answer:

\(\angle D\cong\angle T\), \(\overline{DC}\cong\overline{TU}\), \(\angle B\cong\angle V\)