Final answer:
The rule for reflection is given by the equation ry = x(x, y) + (-y, -x). When reflecting a point over the x-axis, the x-coordinate remains the same while the y-coordinate changes sign. Similarly, when reflecting a point over the y-axis, the y-coordinate remains the same while the x-coordinate changes sign.
Step-by-step explanation:
The rule for reflection is given by the equation ry = x(x, y) + (-y, -x).
When reflecting a point over the x-axis, the x-coordinate remains the same while the y-coordinate changes sign. Similarly, when reflecting a point over the y-axis, the y-coordinate remains the same while the x-coordinate changes sign. For example, if we have a point (3, 4) and we want to reflect it over the x-axis, the reflected point would be (3, -4).