3. What is the converse of the following statement?If M is the midpoint of line segment PQ, then line segment PM is congruent to

Question

8 months ago

11

line segment QM

1 answer:

Len [333] · Answer 1 · 2024-02-16T13:31:20+03:00

Solution

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Define the converse of a statement

The converse of a statement is formed by switching the hypothesis and the conclusion.

STEP 2: break down the given statements

Hypothesis: If M is the midpoint of line segment PQ,

Conclusion: line segment PM is congruent to line segment QM

STEP 3: Switch the two statements

Hence, the answer is given as:

If line segment PM is congruent to line segment QM, then M is the midpoint of line segment PQ,