Question

Is ABC similar to DEF? Why or why not?

A. Yes, because the angles are close enough and the sides are proportional.
B. Yes, because the angles are congruent and the sides are proportional.
C. No, because not all the angles are congruent.
D. We cannot tell because the third side is not given.

Answer 1

The triangles are similar because their angles are congruent and their sides are proportional.

Step-by-step explanation:

The correct answer is B. Yes, because the angles are congruent and the sides are proportional.

Two triangles are similar if their corresponding angles are congruent and their corresponding sides are proportional. In this case, if all angles of ABC are congruent to the corresponding angles of DEF, and the corresponding sides are proportional, then ABC is similar to DEF.