a point with a positive x-coordinate and a negative y-coordinate is reflected over the y-axis. Which sentence describes the coordinates of the new point?

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Question:

a point with a positive x-coordinate and a negative y-coordinate is reflected over the y-axis. Which sentence describes the coordinates of the new point?

Answer:

The reflection of a point with a positive x-coordinate and a negative y-coordinate about the y-axis will result in positive x and y-coordinates.

Given information:

A point with a positive x-coordinate and a negative y-coordinate is reflected over the y-axis.

Let the point be (+a,-b).

The point will be in the fourth quadrant because it has a positive x and negative y coordinate.

After the reflection about the y-axis, the point will jump to the first quadrant.

So, the new coordinates of the reflected point will be (+a,+b).

Therefore, the reflection of a point with a positive x-coordinate and a negative y-coordinate about the y-axis will result in positive x and y-coordinates.

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