Question

Triangle ABC is similar to triangle DEF. Which statement is true about the two triangles? Angles A and C are congruent. Angles A and D are congruent. Angles B and E are proportional. Angles C and D are proportional.

Answer 1

A and D are congruent

Answer 2

Option B) Angles A and D are congruent.

Explanation:

Given that triangle ABC is similar to triangle DEF

As per the similarity axioms for triangles,

corresponding angles of similar triangles would be congruent.

And corresponding sides would be proportional

Here corresponding angles are A and D, B and E , C and F

Corresponding sides are (AB,DE) (BC,EF) (CA,FD)

By corresponding angles congruence we have

angle A and D are congruent

Hence option B is right