5. The Coordinate Plane
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To reflect a point in the x-axis, use the same x-coordinate and take the opposite of the y-coordinate.
To reflect a point in the y-axis, use the same y-coordinate and take the opposite of the x-coordinate.
(3,2)
(-3,-2)
We want to reflect a point in the x-axis of a coordinate plane. To do this, we keep the same x-coordinate and take the opposite of the y-coordinate.
| Point | Reflection in the x-axis |
|---|---|
| (x, y) | (x, - y) |
| (3, -2) | (3, 2) |
We want to reflect a point in the y-axis of a coordinate plane. To do this, we keep the same y-coordinate and take the opposite of the x-coordinate.
| Point | Reflection in the y-axis |
|---|---|
| ( x,y) | ( - x,y) |
| ( 3,-2) | ( - 3,-2) |