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: Analyze $\triangle PQR$

In $\triangle PQR$, since $\angle Q=\angle R$, it is an isosceles triangle. But we don't know the measure of any angles or side - length ratios.

Step2: Analyze $\triangle STU$

In $\triangle STU$, since $ST = SU$, it is an isosceles triangle. But we don't know the measure of any angles or side - length ratios.

Step3: Check similarity conditions

For two triangles to be similar, we need to satisfy either AA (Angle - Angle), SAS (Side - Angle - Side) similarity criteria etc. Here, we have no information about the angles (to check AA) or side - length ratios (to check SAS or SSS similarity).

Answer:

There is not enough information to determine whether the triangles are similar.