Question

The rotation function mapping for a 90-degree clockwise rotation about the origin is equivalent to which other transformation mapping?
(explain in 3 setenteces)

Answer 1

A 90-degree clockwise rotation about the origin can be represented mathematically by the transformation mapping \( (x, y) \to (y, -x) \). This transformation effectively swaps the x and y coordinates while also negating the new x-coordinate, which corresponds to the direction of rotation. In essence, this transformation is equivalent to reflecting the point across the line \( y = x \) followed by a downward reflection across the x-axis.