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A four-sided figure WXYZ
is shown on the coordinate plane. The figure is then reflected across the y-axis. Which point of the figure will end up in Quadrant I?

(1 point)
Responses

Point W
Point cap w

Point X
Point cap x

Point Y
Point cap y

Point Z
Point cap z
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1 answer

To determine which point of the figure WXYZ will end up in Quadrant I after being reflected across the y-axis, we need to understand how reflection across the y-axis affects the coordinates of points:

  • If a point has coordinates \((x, y)\), after reflecting across the y-axis, its new coordinates will be \((-x, y)\).

Quadrant I is characterized by positive x and positive y coordinates.

Let's analyze the points:

  1. Point W: If its original coordinates have a negative x-value, it will move to Quadrant II or III.

  2. Point X: If its original coordinates have a negative x-value, it will move to Quadrant II or III.

  3. Point Y: If its original coordinates have a negative x-value, it will move to Quadrant II or III.

  4. Point Z: If its original coordinates have a negative x-value, it will move to Quadrant II or III.

Conversely, if any of these points have positive x-values, they will remain in Quadrant I or move to Quadrant IV after the reflection.

To confirm which point will land in Quadrant I, you must identify their original coordinates. However, without specific coordinates provided for points W, X, Y, and Z, we cannot definitively say which point will fall into Quadrant I after reflection.

If you can provide the coordinates of the points, I can help you pinpoint the exact point that will end up in Quadrant I after the reflection.