Complete the proof by filling in the missing reasons using the Reasoning bank.

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

3 0

Statements Reasons

1. M lies on AB Given

2. AM+MB=AB Definition of midpoint

3. 2x+2+4x-4 = 16 Segment Addition Postulate

4. 6x-2 = 16 Combining like terms

5. 6x = 18 Addition Property of equality

6. x = 3 Division Property of equality

7. AM=2(3)+2 and MB=4(3)-4 Substitution property of equality

8. AM=8 and MB=8 Definition of midpoint

9. M is a midpoint Hence, proved.

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