Which of the following is a true statement about how equality and congruence are related?

a

Two line segments are equal if their length measures are congruent.

b

Two line segments are congruent if their length measures are equal.

c

Both a and b say the same thing.

d

Two line segments cannot be congruent.

Question

Mathematics

Wade Velazquez

14 April, 21:05

Which of the following is a true statement about how equality and congruence are related?

a

Two line segments are equal if their length measures are congruent.

b

Two line segments are congruent if their length measures are equal.

c

Both a and b say the same thing.

d

Two line segments cannot be congruent.

+3

Answers (1)

Know the Answer?

Sienna Strong · Answer 1

Answer: The answer is (b) Two line segments are congruent if their length measures are equal.

Step-by-step explanation: We are given four options and we to select which one is true regarding the terms equality and congruence.

We are familiar with the geometrical terms. In case of line segments, the terms 'equal' and 'congruent' have the same meaning.

But, in case of length, we use the term 'equal' rather than congruent. So, first option is incorrect and second one is correct. Also, third option will also be wrong.

Option (d) cannot be correct, because two line segments may be congruent.

Thus, the correct option is (b).

Which of the following is a true statement about how equality and congruence are related?aTwo line segments are equal if their length measures are congruent.bTwo line segments are congruent if their length measures are equal.cBoth a and b say the same thing.dTwo line segments cannot be congruent.