Question

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

Explanation:

Step1: Identify given side lengths

$\triangle RST$: $RS = 7$, $RT = 7$; $\triangle UVW$: $UV = 5$, $UW = 5$

Step2: Check similarity conditions

We only know two pairs of corresponding sides are proportional ($\frac{RS}{UV}=\frac{RT}{UW}=\frac{7}{5}$), but we have no information about the included angles or the third side lengths to confirm similarity via SAS, SSS, or AA criteria.

Answer:

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