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
1 answer
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:
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.
