Question

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

Explanation:

1. For \(\boldsymbol{\angle O \cong \angle V}\): Both \(\angle O\) and \(\angle V\) are right angles (marked with the right - angle symbol), so they are congruent.
2. For \(\boldsymbol{\angle Q \cong \angle T}\): The measure of \(\angle Q\) is \(56^{\circ}\) and the measure of \(\angle T\) is also \(56^{\circ}\), so they are congruent.
3. For \(\boldsymbol{\overline{OQ} \cong \overline{VT}}\): The segment \(\overline{OQ}\) and \(\overline{VT}\) have the same number of tick marks (three tick marks), which indicates that their lengths are equal, so they are congruent.
4. For \(\boldsymbol{\angle P \cong \angle U}\): The measure of \(\angle P\) is \(34^{\circ}\) and the measure of \(\angle U\) is also \(34^{\circ}\), so they are congruent.

Answer:

\(\angle O \cong \angle V\), \(\angle Q \cong \angle T\), \(\overline{OQ} \cong \overline{VT}\), \(\angle P \cong \angle U\) (all the given options are correct as explained above)