Given: M is the midpoint of segment AB
Prove: AB=2MB
2006-10-25 10:13:25 · 3 answers · asked by 2 days after my B day :) 2 in Science & Mathematics ➔ Mathematics
The midpoint of a segment, by definition, bisects the segment into two congruent segments.
In this case the new segments are AM and MB. By definition, AB=AM+MB
Because AM=MB, by substitution:
AB=MB+MB
By Algebra:
AB=2MB
QED
2006-10-25 10:17:25 · answer #1 · answered by mediaptera 4 · 0⤊ 0⤋
1 M is m.p. of AB Given
2 AM = MB def. of m.p.
3 AM+MB=AB Segment Addition Postulate
4 AM+AM=AB Substitution of 2 into 3
5 2AM=AB Simplification
6. AB = 2AM Symmetric property of equality (this step is rather unnecessary)
2006-10-25 17:17:58 · answer #2 · answered by D.P 3 · 1⤊ 0⤋
What is the definition of midpoint? Work from there.
2006-10-25 17:15:08 · answer #3 · answered by Anonymous · 0⤊ 0⤋