A point is reflected first over the line y = x, then over the x-axis, then over the y-axis. The resulting point has the coordinates (73, 14). The coordinates of the original point were which of the following?

Question

Quizplus · Accepted Answer

The coordinates of the original point were (-14, -73).
Solution
Assume the original point is (a, b).
1. When the point is reflected over line y = x, the point coordinates become (b, a).
2. When reflected over the x-axis, the coordinates then become (b, -a).
3. When reflected over the y-axis, the coordinates then become (-b, -a)
If the final point is (73, 14), the original point was (-14, -73)

A Point Is Reflected First Over the Line Y =