Question

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

Explanation:

Step1: Identify matching angles

In $\triangle UVW$, $\angle U$ and $\angle V$ are marked. In $\triangle IJK$, $\angle I$ and $\angle K$ are marked, so $\angle U \cong \angle I$, $\angle V \cong \angle K$.

Step2: Apply similarity rule

The AA (Angle-Angle) similarity rule states that if two pairs of corresponding angles of two triangles are congruent, the triangles are similar. Since we have two matching congruent angle pairs, this rule applies.

Answer:

AA