Constructing Segments Quick Check 4 of 54 of 5 Items Question Use the image to answer the 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=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 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 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. Skip to navigation page 15 of 15 Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.

Answer 1

To answer the question:

When Aleph constructs \( \overline{ZR} \), a line segment bisector of \( \overline{XY} \), it means that point Z is the midpoint of segment \( XY \). This implies that point Z divides the segment \( XY \) into two equal parts.

Given that \( XY = 22 \) units, the length of each half, which is also \( ZY \), would be:

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

Thus, the correct responses are:

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

Put together, the final response would be: "Point Z is the midpoint of \( \overline{XY} \). ZY = 11 units."