Question

which rule explains why these triangles are similar?
v u t
94° 30°
s
30° 94°
w r
sss
sas
aa
none of the above; the triangles cannot be proven similar

Explanation:

Step1: Recall triangle similarity rules

SSS (Side - Side - Side) similarity requires the ratios of all three pairs of corresponding sides to be equal. SAS (Side - Angle - Side) similarity requires the ratio of two pairs of corresponding sides to be equal and the included angles to be equal. AA (Angle - Angle) similarity requires two pairs of corresponding angles to be equal.

Step2: Check the angles in the triangles

In triangle \(VWU\), two angles are \(30^{\circ}\) and \(94^{\circ}\). In triangle \(TRS\), two angles are \(30^{\circ}\) and \(94^{\circ}\). So, two pairs of corresponding angles are equal.

Answer:

AA