Question

1. choose the best answer.

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 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.
if point b does not bisect line segment ac into two congruent segments, then point b is not the midpoint.
if point b is not the midpoint, then point b does not bisect line segment ac into two congruent segments.

Explanation:

For a conditional statement "If \(p\), then \(q\)" (\(p
ightarrow q\)), the inverse is "If not \(p\), then not \(q\)" (\(
eg p
ightarrow
eg q\)). Here, \(p = \) "point \(B\) bisects line segment \(AC\) into two congruent segments" and \(q=\) "point \(B\) is the midpoint".

Answer:

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