Question

QUICK!!!!!

Analyze the conditional statement below and complete the instructions that follow.

If m is the midpoint of AB, then M divides AB into two congruent segments.

Identify the inverse of the converse of the conditional statement.

O If M is not the midpoint of AB, then M does not divide AB into two congruent segments.

If M is the midpoint of AB, then M divides AB into two congruent segments.

If M divides AB into two congruent segments, then M is the midpoint of AB.

Olf M does not divide AB into two congruent segments, then M is not the midpoint of AB.

Answer 1

D. If M does not divide AB into two congruent segments, then M is not the midpoint of AB.

Explanation:

A conditional statement is one that include 'if'. Thus it is also referred to as an 'if' statement.

Given a conditional statement:

If M is the midpoint of AB, then M divides AB into two congruent segments.

The converse of the given statement is done by interchanging the two parts of it. So that we have:

If M divides AB into two congruent segments, then M is the midpoint of AB.

Then, the inverse can be obtained by getting the negative of both parts of the converse. Therefore, the inverse is:

If M does not divide AB into two congruent segments, then M is not the midpoint of AB.

The correct option is D.