Question

state the postulate that proves these triangles are similar.

Explanation:

Step1: Check the ratio of sides

For triangle \(FGH\) and \(VWU\), \(\frac{GH}{WU}=\frac{21}{9}=\frac{7}{3}\), \(\frac{FG}{VW}=\frac{42}{18}=\frac{7}{3}\)

Step2: Check the included angle

The included angle \(\angle F=\angle V = 76^{\circ}\)

Since two sides are in proportion and the included angle is equal, by the SAS (Side - Angle - Side) similarity criterion, the two triangles are similar.

Answer:

SAS~