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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=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=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 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.
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1 answer

To interpret the information provided and determine how point Z relates to segment XY and what the length ZY is, let's analyze the statement step by step.

  1. Understanding the relationships:

    • Point Z is described as being on line segment XY. If it is a bisector, that typically means it divides the segment into two equal parts.
    • Given that XY is 22 units long, if Z is the midpoint, then it will split XY into two segments, each of 11 units.

  2. Finding ZY:

    • Since Z is the midpoint of XY, it follows that ZY = 11 units (half of XY).

Based on this analysis, the correct response would be:

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