- ANo — ∠B is not the angle included between AB and AC, so this is the SSA pattern, which does not prove similarity
- BYes — any equal pair of angles together with two proportional sides is enough
- CYes — because the third pair of sides BC and EF must then also be proportional
- DNo — the ratio of the sides must be 1 for similarity
Step-by-Step Solution
The two proportional sides are AB and AC, whose included angle is ∠A, not ∠B. Using ∠B here gives the SSA arrangement, which fails for similarity just as it fails for congruence. Had ∠A = ∠D been given instead, SAS would apply. A ratio of 1 is not required — that would force congruence, not similarity.
Answer: A) No — ∠B is not the angle included between AB and AC, so this is the SSA pattern, which does not prove similarity