Question

which rule explains why these triangles are similar? sss sas aa none of the above; the triangles cannot be proven similar write a similarity statement. △ ~ △

Explanation:

Step1: Identify angle - equal conditions

We see two pairs of marked equal angles in the two triangles.

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 two pairs of equal angles here, the AA rule applies.

Step3: Write similarity statement

Match the corresponding angles. $\triangle STR\sim\triangle KJI$

Answer:

C. AA
$\triangle STR\sim\triangle KJI$