Question

A figure on a coordinate plane is transform so that its image is congruent to the original figure. The answer is (x, y) to (y, x-2) why is that?

Answer 1

To transform a figure on a coordinate plane so that its image is congruent to the original figure, we can swap the x-coordinate with the y-coordinate and subtract 2 from the new x-coordinate.

Step-by-step explanation:

In a rectangular (Cartesian) xy-coordinate system, a point in a plane is described by a pair of coordinates (x, y). To transform a figure on a coordinate plane so that its image is congruent to the original figure, we can swap the x-coordinate with the y-coordinate and subtract 2 from the new x-coordinate. So, the transformation is (x, y) to (y, x-2).