Proof: Midpoint Sum

Let's prove the following theorem:

if M is the midpoint of line AB, then (distance AM) + (distance MB) = distance AB

B A M

Proof:

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Given
1 M is the midpoint of line AB
Proof Table
# Claim Reason
1 m∠AMB = 180 if M is the midpoint of line AB, then m∠AMB = 180
2 (distance AM) + (distance MB) = distance AB if m∠AMB = 180, then (distance AM) + (distance MB) = distance AB

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