1. Rotate 90° clockwise about the origin:
- Original points: A(1, 2), B(3, 2), C(2, 4)
- Rule for 90° clockwise rotation: (x, y) → (y, -x)
- A(1, 2) → (2, -1)
- B(3, 2) → (2, -3)
- C(2, 4) → (4, -2)
- New triangle: A'(2, -1), B'(2, -3), C'(4, -2)
2. Rotate 180° about the origin:
- Original points: D(1, 1), E(3, 1), F(2, 3)
- Rule for 180° rotation: (x, y) → (-x, -y)
- D(1, 1) → (-1, -1)
- E(3, 1) → (-3, -1)
- F(2, 3) → (-2, -3)
- New triangle: D'(-1, -1), E'(-3, -1), F'(-2, -3)
3. Rotate 90° clockwise about the origin:
- Original points: G(-2, 1), H(-1, 3), I(-3, 2)
- Rule: (x, y) → (y, -x)
- G(-2, 1) → (1, 2)
- H(-1, 3) → (3, 1)
- I(-3, 2) → (2, 3)
- New triangle: G'(1, 2), H'(3, 1), I'(2, 3)
4. Rotate 90° counterclockwise about the origin:
- Original points: J(1, -1), K(3, -1), L(2, -3)
- Rule for 90° counterclockwise: (x, y) → (-y, x)
- J(1, -1) → (1, 1)
- K(3, -1) → (1, 3)
- L(2, -3) → (3, 2)
- New triangle: J'(1, 1), K'(1, 3), L'(3, 2)
Parent Tip: Review the logic above to help your child master the concept of rotational geometry worksheet.
