Question

Which statement is the inverse of the conditional statement:

If point B bisects line segment AC into two congruent segments, then point B is the midpoint.


If point B is not the midpoint, then point B does not bisect line segment AC into two congruent segments.

If point B does not bisect line segment AC into two congruent segments, then point B is not the midpoint.

If point B is the midpoint, then point B bisects line segment AC into two congruent segments.

Point B bisects line segment AC into two congruent segments if, and only if, point B is the midpoint.

Answer 1

Answer: Choice B

If point B does not bisect line segment AC into two congruent segments, then point B is not the midpoint.

Reason

The template of a conditional is "If P, then Q". P and Q are placeholders for logical statements. A logical statement is something that is either true or false.

The inverse template would be "If not P, then not Q". We negate each part.

For example, the conditional "if it rains, then it's wet outside" has the inverse "if it doesn't rain, then it's not wet outside". We use this line of thinking to get the answer shown above.