Question

Which quadrant would the point (5,-3) end up in if it is rotated counterclockwise 270

degrees and then reflected over the y-axis?

Answer 1

The point (5,-3) ends up in the fourth quadrant after a counterclockwise rotation of 270 degrees and a reflection over the y-axis.

Step-by-step explanation:

To determine the quadrant in which the point (5, -3) ends up after a counterclockwise rotation of 270 degrees and a reflection over the y-axis, we can follow these steps:

1. First, rotate the point counterclockwise by 270 degrees. This means the x-coordinate becomes the y-coordinate and the y-coordinate becomes the negative of the x-coordinate. So after the rotation, the point becomes (-3, -5).
2. Next, reflect the point over the y-axis. This means the x-coordinate becomes the negative of itself. So after the reflection, the point becomes (3, -5).

The point (3, -5) ends up in the fourth quadrant, which is the quadrant where the x-coordinate is positive and the y-coordinate is negative.