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

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

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

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