Question

1. which property of similarity can be used to prove triangles str and vwu are similar?

sss
sas
not enough information
aa

Explanation:

Step1: Check the ratio of sides

For \(\triangle STR\) and \(\triangle VWU\), \(\frac{TR}{WU}=\frac{6}{9}=\frac{2}{3}\), \(\frac{ST}{VW}=\frac{8}{12}=\frac{2}{3}\).

Step2: Check the included angle

\(\angle T=\angle W\) (given as the included angle between the two sides).
Since two sides are in proportion and the included angle is equal, by the SAS (Side - Angle - Side) similarity criterion, the triangles are similar.

Answer:

SAS