Question

Line segment upper X upper Y has a nearly vertical orientation, sloping downward steeply from left to right. Ray upper Z upper R extends rightward and upward from midpoint upper Z on the line segment upper X upper Y .
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=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.
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 center point of XY¯¯¯¯¯¯¯¯
. ZY=22
units

Answer 1

In the context of the problem, point Z is defined as the midpoint of line segment XY. Since XY has a length of 22 units, the length of each half (from Z to either X or Y) would be half of that distance.

Calculating ZY:

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

Therefore, the correct statements from the options would include:

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

The correct answer is:

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