The best option that describes the transformation (x, y) → (–y, x) is;
Option A; The transformation was a 90° rotation about the origin
We are given the transformation rule used as; (x, y) → (–y, x)
- The mode of transformation for each of the vertices is given as;
A (–1, 1) → A' (–1, –1)
B (1, 1) → B' (–1, 1)
C (1, 4) → C' (–4, 1)
- From the above new vertices, we can see that the new x-coordinates are negative of the y-coordinates while the new y-coordinates are now the x-values before transformation.
- Now, according to the laws of rotation about the origin in maths, when we rotate an object in the counterclockwise direction at a 90° angle about the origin, any point (x, y) becomes (-y, x).
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