SOLUTION: Given:B is the midpoint of AC Prove:AC =2AB

Question 201650: Given:B is the midpoint of AC
Prove:AC =2AB
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Given:B is the midpoint of AC
Prove:AC =2AB
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AC = AB + BC ------------definition of midpoint
BC = AB------------------definition of midpoint
AC = AB + AB-------------substitution
AC = 2AB-----------------rule of addition
QED
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Cheers,
Stan H.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

B midpoint of AC: Given
AB + BC = AC: Definition of a mid-point (the part that says a mid-point divides a line segment into two parts)
AB = BC: Definition of a mid-point (the part that says the two parts are equal)
AB + AB = AC: Substitution property of equality
2AB = AC: Definition of multiplication for whole numbers
Q.E.D.

John

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