SOLUTION: Prove this using direct proof in paragraph form. Given: 𝑀 is the midpoint of 𝑋𝑌 Prove: XM = YM

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Question 1176855: Prove this using direct proof in paragraph form.
Given: 𝑀 is the midpoint of 𝑋𝑌
Prove: XM = YM
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Proof
1,
given: M is the midpoint of+XY
2.
prove: XM+=+YM
3 and 4
If+M+is the midpoint of XY, then from the definition of midpoint of a segment, we know that XM+=+YM.
This means that XM and YM have the same measure.
By the definition of congruence, if two segment have the same measure, then they are congruent.
5.
Thus, XM+=+YM