Question

what are the corresponding parts of the figures below? select all that apply.
st ≅ xv
tr ≅ vw
∠t ≅ ∠v
∠s ≅ ∠x

Explanation:

To determine corresponding parts, we analyze the triangles' sides and angles.

• For sides: \( ST = 42 \) mi, \( XV = 42 \) mi ⇒ \( \overline{ST} \cong \overline{XV} \). \( TR = 30 \) mi, \( VW = 30 \) mi ⇒ \( \overline{TR} \cong \overline{VW} \).
• For angles: \( \angle T \) and \( \angle V \) are marked congruent, \( \angle S \) and \( \angle X \) are marked congruent, and \( \angle R \) and \( \angle W \) (with the same arc marks) are congruent (though not an option here). So the marked equal sides and angles match the options.

Answer:

\(\overline{ST} \cong \overline{XV}\), \(\overline{TR} \cong \overline{VW}\), \(\angle T \cong \angle V\), \(\angle S \cong \angle X\) (all the selected options are correct as they represent corresponding congruent parts based on side lengths and angle markings).