Question

which rule explains why these triangles are similar?

f
95°
g
34°
e
j
34°
95°
i
k
sss
sas
aa
none of the above; the triangles cannot be proven similar

Explanation:

The AA (Angle - Angle) similarity rule states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. In triangle \(EFG\), we have angles \(34^{\circ}\) and \(95^{\circ}\). In triangle \(IJK\), we also have angles \(34^{\circ}\) and \(95^{\circ}\). Since two pairs of angles are equal, the AA rule applies.

Answer:

AA