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.
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.