Question

A point in Quadrant III is reflected across the y-axis. What is true about the new location? Check all that apply.

The new location is in Quadrant II.
The new location is in Quadrant IV.
The new location has a positive x-coordinate and a negative y-coordinate.
The new location has a negative x-coordinate and a positive y-coordinate.
The new location has negative x- and y-coordinates.

Answer 1

The new location after reflection across the y-axis in Quadrant III will have a negative x-coordinate and a positive y-coordinate.

Step-by-step explanation:

The new location after reflection across the y-axis in Quadrant III will have a negative x-coordinate and a positive y-coordinate. This is because reflecting a point across the y-axis changes the sign of the x-coordinate while keeping the sign of the y-coordinate the same. Since the original point is in Quadrant III, which has negative x and y values, the reflected point will have a negative x-coordinate and a positive y-coordinate. Therefore, the correct options are:

1. The new location has a negative x-coordinate and a positive y-coordinate.
2. The new location has negative x- and y-coordinates.

Answer 2

The new location is in Quadrant IV. and The new location has a positive x-coordinate and a negative y-coordinate.

Step-by-step explanation: