Question

Use the image to answer the 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 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 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 center point of XY¯¯¯¯¯¯¯¯. ZY=22 units

Answer 1

Based on the details provided, point Z is described as the midpoint of the line segment XY. Therefore, if the total length XY is 22 units, point Z divides this segment into two equal parts.

To find the length ZY, we can use the following logic:

- Since Z is the midpoint of XY:
- The lengths from X to Z and from Z to Y are equal.

Therefore, if \( XY = 22 \) units:

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

So, the correct statement is:

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