Question

Triangle ABC is similar to triangle DEF. Which statement is true about the two triangles?

A. Angle A and C are congruent
B. Angles A and D are congruent
C. Angles B and E are proportional
D. Angles C and D are propotional

Answer 1

Angles A and D are congruent.

Explanation:

In similar triangles, corresponding angles are congruent. Therefore, the correct statement is: Angles A and D are congruent.

This is because, in similar triangles ABC and DEF, angle A corresponds to angle D.

Answer 2

Answer: B. Angles A and D are congruent

Explanation:

We know that if two triangles are similar then its corresponding angles are congruent and corresponding sides are proportional.

Hence, If ΔABC is similar to ΔDEF, then

∠A≅∠D , ∠B≅∠E and ∠C≅∠F

and
`(AB)/(DE)=(BC)/(EF)=(AC)/(DF)`

Hence, statement B. is true about the two triangles. "Angles A and D are congruent"