Complete the proof by filling in the missing reasons using the Reasoning bank.
1. Given AB=16; M lies on the line AB
2x-2 Prove: M is a midpoint
A
4x-4
M
B
Statements Reasons
1) M lies on AB
1)
2) AM + MB = AB
2)
3)2x+2+4x-4=16
3)
4)6x-2=16
4)
5)6x=18
5)
6)x=3
6)
7)AM=2(3)+2 and MB=4(3)-4
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? 7)substitution property of equality
8)AM=8 and MB=8
8)
9)M is a midpoint
9)?
Reasoning bank
Addition Property of equality Combine like terms Definition of midpoint Division property of equality Given segment Addition Postulate