GCSE Maths Practice: transformations

Question 1 of 10

This question introduces 90° clockwise rotations in the coordinate plane.

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\( \begin{array}{l}\text{After rotating } 90^\circ \text{ clockwise about the origin, what happens to (x,y)?}\end{array} \)

Choose one option:

Swap coordinates and negate the correct value for clockwise rotation.

Rotating a point 90° clockwise around the origin swaps the x- and y-coordinates, with the new y-coordinate negated. For example, (x,y) → (y,-x). Understanding rotation rules is important for coordinate transformations, composite transformations, and geometric reasoning. Practice plotting points before and after rotation on graph paper to visualize changes. Recognize that clockwise rotation differs from anticlockwise, and always follow the standard conventions. Rotations preserve distance from the origin, angles, and shape of figures, but can change orientation.