Question

1. choose the best answer.

which statement is the converse of the conditional statement:
if point b bisects line segment ac into two congruent segments, then 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.
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.

Explanation:

The converse of a conditional statement "If \(p\), then \(q\)" is "If \(q\), then \(p\)". Here, \(p\) is "point \(B\) bisects line segment \(AC\) into two congruent segments" and \(q\) is "point \(B\) is the mid - point".

Answer:

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