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?
  1. (-14, -73)
  2. (-73, 14)
  3. (73, -14)
  4. (73, 14)
Explanation
Answer: A - 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)
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