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
[tex]\frac{RS}{UV}=\frac{RT}{UW}=\frac{ST}{VW}[/tex]The ratios of their corresponding sides are equal
Therefore, the triangles are similar.
Hence ΔRST ∼ ΔUVW