Transform the statements into conditional, converse, inverse, and contrapositive statements and determine if each is true or false.

All congruent segments have the same length.

A. Conditional: If segments are congruent, then they have the same length; true.

Converse: If segments have the same length, then they are congruent; true.

Inverse: If segments are not congruent, then they do not have the same length; true.

Contrapositive: If segments do not have the same length, then they are not congruent; true.

B. Conditional: If segments are congruent, then they have the same length; false.

Converse: If segments have the same length, then they are congruent; false.

Inverse: If segments are not congruent, then they do not have the same length; false.

Contrapositive: If segments do not have the same length, then they are not congruent; false.

C. Conditional: If segments do not have the same length, then they are not congruent; true.

Converse: If segments have the same length, then they are congruent; true.

Inverse: If segments are not congruent, then they do not have the same length; true.

Contrapositive: If segments are congruent, then they have the same length; true.

D. Conditional: If segments are congruent, then they have the same length; true.

Converse: If segments are not congruent, then they do not have the same length; false.

Inverse: If segments do not have the same length, then they are not congruent; false.

Contrapositive: If segments have the same length, then they are congruent; true.