Proof: Midpoint Distance Half 2
Let's prove the following theorem:
if M is the midpoint of line AB, then distance AM = (distance AB) / 2
Proof:
Given
1 | M is the midpoint of line AB |
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# | Claim | Reason |
---|---|---|
1 | distance AB = (distance AM) ⋅ 2 | if M is the midpoint of line AB, then distance AB = (distance AM) ⋅ 2 |
2 | (distance AM) ⋅ 2 = distance AB | if distance AB = (distance AM) ⋅ 2, then (distance AM) ⋅ 2 = distance AB |
3 | distance AM = (distance AB) / 2 | if (distance AM) ⋅ 2 = distance AB, then distance AM = (distance AB) / 2 |
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