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=22
units.
Point upper Z is the midpoint of Modifying above upper X upper Y with bar . upper Z upper Y equals 22 units.

Point Z
is the midpoint of XY¯¯¯¯¯¯¯¯
. ZY=11
units.

Answer 1

To determine how point Z relates to line segment \( \overline{XY} \), we need to understand the concept of a bisector. A bisector of a line segment divides it into two equal parts.

Given that \( XY = 22 \) units, if Z is the midpoint of \( \overline{XY} \), then it divides \( \overline{XY} \) into two equal segments. This means:

\[
ZY = \frac{XY}{2} = \frac{22}{2} = 11 \text{ units}
\]

Therefore, the correct response is:

**Point Z is the midpoint of \( \overline{XY} \). \( ZY = 11 \) units.**