To determine which point will end up in Quadrant I after reflecting the quadrilateral WXYZ across the y-axis, we need to find the new coordinates of each point after the reflection.
The rule for reflecting a point \((x, y)\) across the y-axis is \((-x, y)\).
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Point W:
- Original coordinates: \((-2, 1)\)
- After reflection: \((2, 1)\)
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Point X:
- Original coordinates: \((-4, -3)\)
- After reflection: \((4, -3)\)
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Point Y:
- Original coordinates: \((5, -2)\)
- After reflection: \((-5, -2)\)
-
Point Z:
- Original coordinates: \((6, 6)\)
- After reflection: \((-6, 6)\)
Now let's analyze the new coordinates:
- Point W: \((2, 1)\) - This point is in Quadrant I (positive x and positive y).
- Point X: \((4, -3)\) - This point is in Quadrant IV (positive x and negative y).
- Point Y: \((-5, -2)\) - This point is in Quadrant III (negative x and negative y).
- Point Z: \((-6, 6)\) - This point is in Quadrant II (negative x and positive y).
Therefore, the point that will end up in Quadrant I after the reflection is Point W.