Question

In ΔRST, RS = 12, RT = 11, and ST = 13. In ΔUVW, UV = 24, UW = 22, and VW = 26. Which is the correct statement of similarity?Select one:a.The triangles are not similar.b.ΔRST ∼ ΔUVWc.ΔRST ∼ ΔVWUd.ΔRST ∼ ΔWUV

Answer 1

Explanation:

Similar triangles are triangles that have the same shape, but their sizes may vary

Two triangles are similar if they meet one of the following criteria. : Two pairs of corresponding angles are equal. : Three pairs of corresponding sides are proportional. : Two pairs of corresponding sides are proportional and the corresponding angles between them are equal.

Let us sketch the triangles

We can observe that

$\frac{RS}{UV}=\frac{RT}{UW}=\frac{ST}{VW}$

The ratios of their corresponding sides are equal

Therefore, the triangles are similar.

Hence ΔRST ∼ ΔUVW