Question

Triangles ABC and DEF are congruent. Which of the following must be true?

A
Angles B and D are congruent.

B
Line segments AB and BC are congruent.

C
Line segments AB and DE are congruent.

D
Angles A, B, C, D, E and F are all congruent.

Answer 1

Explanation:

Answer: Line segments AB and DE are congruent.

Answer 2

Answer: Line segments AB and DE are congruent.

Explanation:

Given : Triangle ABC is congruent to triangle DEF .

We know that if two triangles are congruent then their corresponding sides and angles are congruent.

This property of congruent triangles are also known as CPCTC (corresponding parts of congruent triangles are congruent.)

Therefore,

m∠A=m∠D

m∠B=m∠E

m∠C=m∠F

AB=DE

BC=EF

AC=DF

From the given options the only right option is line segments AB and DE are congruent.