Proof: Midpoint Sum
Let's prove the following theorem:
if M is the midpoint of line AB, then (distance AM) + (distance MB) = distance AB
Proof:
Given
| 1 | M is the midpoint of line AB |
|---|
| # | 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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