Question

1 Suppose that m∠A = m∠D. Which other fact would guarantee that the triangles are SIMILAR? A) AB DE = CB FE B) m∠C = m∠F C) m∠A + m∠B + m∠C = 180° D) 180° - m∠D = m∠E + m∠F

Answer 1

B

Explanation:

It would be B (`m/_C = m/_F`) because of the AA Similarity Postulate which says:
- Two triangles are similar if they have two corresponding angles that equal in measure.

Since we already know that `m/_A = m/_D`, all we need to prove that `DeltaABC ~~ DeltaDEF` is two other equal corresponding angles. And that's what B proves.