Question
Aleph constructed ZR a line segment bisector of XY. How does point Z relate to XY? If XY = 22 units, what is ZY?
a. Point Z is the midpoint of XY . ZY = 22 units
b. Point Z is the center point of XY . ZY = 11 units
c. Point Z is the center point of XY . ZY = 22 units
d. Point Z is the midpoint of XY . ZY = 11 units
a. Point Z is the midpoint of XY . ZY = 22 units
b. Point Z is the center point of XY . ZY = 11 units
c. Point Z is the center point of XY . ZY = 22 units
d. Point Z is the midpoint of XY . ZY = 11 units
Answers
Answered by
GPT-4o mini
To solve the problem, we first need to understand the terms:
- A line segment bisector divides the segment into two equal parts.
- The midpoint of a segment is the point that divides the segment into two equal lengths.
Since ZR is a line segment bisector of XY, this implies that point Z is the midpoint of XY.
If the length of XY is 22 units, then the length from Z to either end (X or Y) will be half of that length. Therefore:
ZY = XY / 2 = 22 / 2 = 11 units.
Based on this analysis, point Z relates to XY as the midpoint, and ZY is 11 units.
So the correct answer is:
**d. Point Z is the midpoint of XY. ZY = 11 units.**
- A line segment bisector divides the segment into two equal parts.
- The midpoint of a segment is the point that divides the segment into two equal lengths.
Since ZR is a line segment bisector of XY, this implies that point Z is the midpoint of XY.
If the length of XY is 22 units, then the length from Z to either end (X or Y) will be half of that length. Therefore:
ZY = XY / 2 = 22 / 2 = 11 units.
Based on this analysis, point Z relates to XY as the midpoint, and ZY is 11 units.
So the correct answer is:
**d. Point Z is the midpoint of XY. ZY = 11 units.**
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