Mathematics
Grade9
Easy
Question
What is the justification (reason)?
X is the midpoint of ![stack A B with minus on top](data:image/png;base64,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)
AX = BX
- reflexive property
- definition of segment bisect
- definition of a midpoint
- substitution property
Hint:
definition of a midpoint .
The correct answer is: definition of a midpoint
Given
X is the midpoint of ![stack A B with minus on top](data:image/png;base64,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)
AX = BX
According to the definition of a midpoint X is the midpoint of line AB
If AX = XB
SO , By definition of a midpoint .
Use the property of midpoint .
X is the midpoint of line AB
If AX = XB