To prove that M is a midpoint, we need to show that AM = MB.
Since M lies on line AB, we can write AB as the sum of AM and MB: AB = AM + MB.
Given that AB = 28, we can substitute this into the equation: 28 = AM + MB.
Since we want to prove that M is a midpoint, we assume it is true and can therefore substitute AM and MB with x (the length of AM or MB): 28 = x + x.
Simplifying the equation, we have: 28 = 2x.
Now, solve for x by dividing both sides of the equation by 2: 14 = x.
Therefore, AM = MB = 14.
Since AM is equal to MB, we can conclude that M is the midpoint of AB.
Given: AB = 28; M lies on the line AB
Prove: M is a midpoint.
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