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The center of a circle has coordinates (6, -5). The circle is reflected about the line y = 1.What are the x, y coordinates of the center of the image circle? State the x coordinate first.

 Dec 23, 2021
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The line y = 1 is a horizontal line that is one above the x-axis.

Since the x-coordinate determines how far left or right a point is, it stays the same at y=1.

 

To reflect a point is to mirror it accros a line. Since -5 is 6 away from 1, the reflected point must also be 6 away from 1. That point is 7.

 

Putting the coordinates together, we get the coordinate (6, 7), of course with the x-coordinate stated first.

 Dec 23, 2021

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