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 above will end up in Quadrant I?
point w
point z
point x
point y
When a point is reflected across the y-axis, its x-coordinate is negated.
Given that the points are WXYZ,
- W has coordinates (x, y)
- X has coordinates (-x, y)
- Y has coordinates (x, -y)
- Z has coordinates (-x, -y)
After reflecting across the y-axis:
- W has coordinates (-x, y)
- X has coordinates (x, y)
- Y has coordinates (-x, -y)
- Z has coordinates (x, -y)
Out of these points, only point X will end up in Quadrant I, since it has positive x and y coordinates.