M is the midpoint of AB. Prove AB = 2AM | MathCelebrity Forum

M is the midpoint of AB. Prove AB = 2AM

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M is the midpoint of AB. Prove AB = 2AM

M is the midpoint of AB (Given)
AM = MB (Definition of Congruent Segments)
AM + MB = AB (Segment Addition Postulate)
AM + AM = AB (Substitution Property of Equality)
2AM = AB (Distributive property)

 
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