Question

Aleph constructed ZR−→− , a line segment bisector of XY¯¯¯¯¯¯¯¯ . How does point Z relate to XY¯¯¯¯¯¯¯¯ ? If XY=22 units, what is ZY ?

(1 point)
Responses

Point Z is the center point of XY¯¯¯¯¯¯¯¯. ZY=22 units
Point upper Z is the center point of Modifying above upper X upper Y with bar . upper Z upper Y equals 22 units

Point Z is the center point of XY¯¯¯¯¯¯¯¯. ZY=11 units.
Point upper Z is the center point of Modifying above upper X upper Y with bar . upper Z upper Y equals 11 units.

Point Z is the midpoint of XY¯¯¯¯¯¯¯¯. ZY=11 units.
Point upper Z is the midpoint of Modifying above upper X upper Y with bar . upper Z upper Y equals 11 units.

Point Z is the midpoint of XY¯¯¯¯¯¯¯¯. ZY=22 units.

Answer 1

To understand how point Z relates to the line segment XY, let's start by clarifying what it means for ZR to be a line segment bisector of XY.

A bisector of a line segment is a line that divides the segment into two equal parts. This means that point Z, which is the point where the bisector intersects the segment XY, is the midpoint of XY.

Given that the length of XY is 22 units, if Z is the midpoint, then it will divide XY into two equal segments. Therefore, each segment (from X to Z and from Z to Y) will be half the length of XY.

So, we calculate:
\[ ZY = \frac{XY}{2} = \frac{22 \text{ units}}{2} = 11 \text{ units} \]

Thus, the correct response is:
**Point Z is the midpoint of XY¯¯¯¯¯¯¯¯. ZY=11 units.**