Question

△pqr and △stu are shown below.
which statement is true?
△pqr is similar to △stu.
△pqr is not similar to △stu.
there is not enough information to determine whether the triangles are similar.

Explanation:

Step1: Identify given congruent parts

In $\triangle PQR$ and $\triangle STU$: $\overline{PQ} \cong \overline{PS}$ (marked congruent sides), $\overline{PR} \cong \overline{SU}$ (marked congruent sides), and $\angle P \cong \angle S$ (marked congruent included angles).

Step2: Apply SAS similarity rule

For two triangles, if two pairs of corresponding sides are in proportion (here, since sides are congruent, the ratio is $1:1$) and the included angles are congruent, the triangles are similar.

Answer:

$\triangle PQR$ is similar to $\triangle STU$.