To determine which point of the figure WXYZ will end up in quadrant I after being reflected across the y-axis, we need to analyze the coordinates of each point in the figure.
When a point (x, y) is reflected across the y-axis, its new coordinates become (-x, y). Thus, for a point to end up in quadrant I after reflection, its new x-coordinate must be positive, and the y-coordinate must also be positive.
- If the original point has a positive x-coordinate (x > 0), reflecting this point across the y-axis will result in a negative x-coordinate (-x < 0), which means it will not end up in quadrant I.
- If the original point has a negative x-coordinate (x < 0), reflecting this point will give it a positive x-coordinate and the same y-coordinate. If y is positive (y > 0), then the reflected point will be in quadrant I. If y is negative (y < 0), the reflected point will be in quadrant IV.
Therefore, to identify which point will end up in quadrant I after the reflection, we need to locate which of the original points has a negative x-coordinate and a positive y-coordinate.
Without the specific coordinates of points W, X, Y, and Z, I cannot provide a definitive answer, but you can follow these guidelines:
- Identify the coordinates of points W, X, Y, and Z.
- Check which point has negative x-coordinates and positive y-coordinates.
- That point will be the one that ends up in quadrant I after reflection.
If you provide the coordinates for W, X, Y, and Z, I can help you determine which point will end up in quadrant I.