Given that point M is the midpoint of line segment AB, by the definition of mid-point, the measurement of AM and BM are equal . Since AM ≅BM, then by definition of congruent segments, prove that line segment AM is congruent to line segment BM
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Proof:
Given: Point M is the midpoint of line segment AB, and AM ≅BM
To prove: Line segment AM is congruent to line segment BM
Proof:
Since Point M is the midpoint of line segment AB, then by definition of midpoint, the measurement of AM and BM are equal.
Since AM ≅BM, then by definition of congruent segments, line segment AM is congruent to line segment BM.
Therefore, line segment AM is congruent to line segment BM.
Q.E.D.