- For a 180° rotation about a point (a, b), each vertex (x, y) maps to (2a - x, 2b - y).
- For a 90° clockwise rotation about the origin, each vertex (x, y) maps to (y, -x).
- For a 90° anticlockwise rotation about the origin, each vertex (x, y) maps to (-y, x).
- For a 90° clockwise rotation about a point (a, b), translate the shape so (a, b) becomes the origin, apply the 90° clockwise rule, then translate back: (x, y) maps to (a + (y - b), b - (x - a)).
- For a 90° anticlockwise rotation about a point (a, b), translate the shape so (a, b) becomes the origin, apply the 90° anticlockwise rule, then translate back: (x, y) maps to (a - (y - b), b + (x - a)).
Parent Tip: Review the logic above to help your child master the concept of rotation worksheet.
