SOLUTION: This prove is really confusing me and below have provided what i think i understand but i just can't remember the reasons so if you can help me i would appreciate it very much.

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Question 254259: This prove is really confusing me and below have provided what i think i understand but i just can't remember the reasons so if you can help me i would appreciate it very much.
Given: In triangle ABC, line segment AB>AC and M is the midpoint of line segment AC.
Prove: line segment AB>AM
Statements Reasons
1. AB>AC 1. Given
2. M is the midpoint of AC 2. Given
3. AM=MC 3. A midpoint separates a line segment
into two congruent parts.
4. AC=AM+MC 4. If point M is between A and C, then
AM+MC=AC
5. AC>AM 5.???
6. AB>AM 6. Transitive property of equality

Reasons
1. Given
2. Given
3. A midpoint separates a line segment into two congruent parts.
4. If point M is between A and C, then AM+MC=AC
5.???
6. Transitive property of equality

Answer by drk(1908)   (Show Source): You can put this solution on YOUR website!
STATEMENT 1: AB>AC
REASON 1: given
STATEMENT 2: M is the midpoint
REASON 2: given
STATEMENT 3: AM=MC
REASON 3: definition of midpoint
STATEMENT 4: AC=AM+MC
REASON 4: segment addition postulate
STATEMENT 5: AC > AM
REASON 5: distance from end point to midpoint is less than distance from end point to end point.
STATEMENT 6: AB>AM
REASON 5: transitive property of inequality
I think that gets it. You are on the right track!

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