Question

Read the true statement below and then tell whether the converse, inverse, and contrapositive are also true(answer all 3)

Converse: If two angles are congruent, then they are both right angles --true or false?
Inverse: if two angles are not both right angles, then they are not congruent--true or false?
Contrapositive: If two angles are not congruent, then they are both not right angles--true or false?

Answer 1

Converse: False

Inverse: False

Contrapositive: True

Explanation:

Converse: Two angles can be any degree and be congruent, they do not have to both be right angles, which makes this statement false.

Inverse: Same as above. They can be not right angles. If they are the same degree, they are congruent, so they do not have to be right angles, which makes this statement false.

Contrapositive: If angles are congruent, they will not both be right angles, because right angles are the same degree, which makes them congruent. Thus, this statement is true.