A line segment connects point A to point B, with a point M on the line segment between A and B.
Question
What is the next logical statement in the proof below?
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
A M plus A M equals A B
Image with alt text: A M plus A M equals A B
A M equals A B minus M B
Image with alt text: A M equals A B minus M B
A B equals A M plus M B
Image with alt text: A B equals A M plus M B
upper M left-parenthesis upper A plus upper B right-parenthesis equals upper A upper B
A B equals A M plus M B
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
Substitution Property of Equality
Use the given property to complete the statement.
Distributive Property
3 left-parenthesis x minus 1 right-parenthesis equals 3 x minus what number?
(1 point)
Responses
Negative 1
Image with alt text: Negative 1
Negative 3
Image with alt text: Negative 3
1
1
3
Negative 3
StartFraction 1 over 2 EndFraction x minus 5 equals 10 given
2 left-parenthesis StartFraction 1 over 2 EndFraction x minus 5 right-parenthesis equals 20 ?
x minus 10 equals 20 ?
x = 30 ?
Question
What is the first missing reason?
(1 point)
Responses
Distributive Property
Distributive Property
Multiplication Property of Equality
Multiplication Property of Equality
Addition Property of Equality
Addition Property of Equality
Substitution Property of Equality
Multiplication Property of Equality
What is the second missing reason?
(1 point)
Responses
Distributive Property
Distributive Property
Multiplication Property of Equality
Multiplication Property of Equality
Addition Property of Equality
Addition Property of Equality
Substitution Property of Equality
Addition Property of Equality
According to the Transitive Property of Equality, if TX = XY and XY = YZ, then TX = ___.
(1 point)
Responses
TX
TX
XY
XY
YZ
YZ
TZ
TZ