A line segment connects point A to point B, with a point M on the line segment between A and B.
Question
What reason justifies the answer to the previous question?
Given: M is the midpoint of Modifying above A B with bar..
Prove: 2 left-parenthesis A M right-parenthesis equals A B
Statements Reasons
M is the midpoint of Modifying above A B with bar. given
Modifying above A M with bar congruent to Modifying above M B with bar A midpoint divides a segment into two congruent segments.
A M equals M B Congruent segments have equal lengths.
The length of A M plus the length of M B equals the length of A B Segment Addition Postulate.
? ?
2 left-parenthesis A M right-parenthesis equals A B Combine like terms.(1 point)
Responses
Distributive Property
Distributive Property
Symmetric Property of Equality
Symmetric Property of Equality
Substitution Property of Equality
Substitution Property of Equality
Subtraction Property of Equality