which rule explains why these scalene triangles are similar? sss sas aa none of the above; the triangles…

which rule explains why these scalene triangles are similar? sss sas aa none of the above; the triangles cannot be proven similar

which rule explains why these scalene triangles are similar? sss sas aa none of the above; the triangles cannot be proven similar

Answer

Explanation:

Step1: Identify equal angles

We see that $\angle U=\angle E = 92^{\circ}$. But we don't have information about other angles or side - length ratios to use SSS (Side - Side - Side) or SAS (Side - Angle - Side).

Step2: Recall similarity rules

The AA (Angle - Angle) similarity rule states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar. Since we have one pair of equal angles and no information to suggest the other angles are unequal, we assume the possibility of AA similarity.

Answer:

C. AA