Question

triangle srq undergoes a rigid transformation that results in triangle vut. which statements are true regarding the transformation? select two options.

□ sq corresponds to vu.

□ ∠r corresponds to ∠u.

□ uv corresponds to rs.

□ ∠s corresponds to ∠t.

□ qs corresponds to rs.

Explanation:

1. For the first option: In rigid transformations, corresponding sides are determined by the order of the vertices. Triangle SRQ transforms to VUT, so the correspondence is S→V, R→U, Q→T. So $\overline{SQ}$ should correspond to $\overline{VT}$, not $\overline{VU}$. So this is false.
2. For the second option: Since R corresponds to U (from S→V, R→U, Q→T), $\angle R$ corresponds to $\angle U$. This is true.
3. For the third option: $\overline{UV}$ (which is same as $\overline{VU}$) and $\overline{RS}$: From the correspondence S→V, R→U, Q→T, $\overline{RS}$ (R to S) corresponds to $\overline{UV}$ (U to V). So this is true.
4. For the fourth option: $\angle S$ corresponds to $\angle V$ (since S→V), not $\angle T$. So this is false.
5. For the fifth option: $\overline{QS}$ (Q to S) and $\overline{RS}$ (R to S) are different sides. $\overline{QS}$ corresponds to $\overline{VT}$, so this is false.

So the true statements are "∠R corresponds to ∠U" and "UV corresponds to RS".

Answer:

B. ∠R corresponds to ∠U, C. $\overline{UV}$ corresponds to $\overline{RS}$