SOLUTION: Given: AM = 1/2 of AB (There is a diagram which shows AB as a segment with Point M in the middle of the segment) Prove: M is the midpoint of segment AB

Algebra ->  Geometry-proofs -> SOLUTION: Given: AM = 1/2 of AB (There is a diagram which shows AB as a segment with Point M in the middle of the segment) Prove: M is the midpoint of segment AB      Log On


   

Question 1196787: Given: AM = 1/2 of AB
(There is a diagram which shows AB as a segment with Point M in the middle of the segment)
Prove: M is the midpoint of segment AB
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Given: AM+=+%281%2F2%29%28AB%29
Prove: M is the midpoint of segment AB

statement...................................................................................................................reason

AM+=+%281%2F2%29%28AB%29................................................................................................................given
AM+=+MB ..................... ....................................................................................................segment addition postulate
MB+=+%281%2F2%29%28AB%29......................................................................................................substitution
If AM+=+%281%2F2%29%28AB%29 and MB+=+%281%2F2%29%28AB%29 then M is the midpoint of AB.......................the midpoint theorem