Given: Point B is the midpoint of segment AC and
segment AC = 12
Prove: Segment AB = 6
Select the reason that best
supports Statement 5 in the given proof.
Whoever answers could u give 5 and 6? They’re beside each other.
given proof.
A. Distributive Property
Statement:
1. AC =12
2. B is the midpoint of AC
3. AB = BC
B. Substitution
Reason:
1. Given
2. Given
3. Definition
of a midpoint
4. Postulate
5.[?]
6.
7. Algebra
8. Division Property
of Equality
C. Division Property of Equality
D. Subtraction Property of Equality
4. AB + BC = AC
5. AB + AB - AC
6. AB + AB = 12
7. 2(AB) = 12
8. AB = 6
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For statement 5 the reason is a substitute, and for the statement 6, the reason is a substitute if point B is the midpoint of segment AC and segment AC = 12

What is the midpoint of the segment?

It is defined as the middle point of the segment or line(any geometry may have a midpoint) around two identical sizes formed. The midpoint bisects the segment.

We have:

Point B is the midpoint of segment AC and

Segment AC = 12

Prove: Segment AB = 6

The statement(5):

AB+AB = AC (here BC is substituted by AC)

So the reason is substitution.

The statement(6):

AB + AB = 12 (here AC is substituted by 12)

So the reason is a substitute.

Thus, for statement 5 the reason is a substitute, and for the statement 6, the reason is a substitute if point B is the midpoint of segment AC and segment AC = 12

Learn more about the midpoint here:

https://brainly.com/question/5127660

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