7I-Rotation and Reflection
Question 3:
A(3,3),C(0,0)
We’ll apply standard rotation rules about the origin.
Rotation | Formula | Direction |
90° clockwise | ((x, y) → (y, -x)) | right turn |
90° anticlockwise | ((x, y) → (-y, x)) | left turn |
180° (clockwise or anticlockwise) | ((x, y) → (-x, -y)) | half turn |
270° clockwise (= 90° anticlockwise) | ((x, y) → (-y, x)) | same as 90° anticlockwise |
360° | ((x, y) → (x, y)) | full circle, same point |
Final Answer
Rotation | A′ Coordinates |
a) 180° clockwise | (–3, –3) |
b) 90° clockwise | (3, –3) |
c) 90° anticlockwise | (–3, 3) |
d) 270° clockwise | (–3, 3) |
e) 360° anticlockwise | (3, 3) |
f) 180° anticlockwise | (–3, –3) |
Question 4
Rotation | Formula | Description |
90° anticlockwise | (x, y) → (–y, x) | turn left |
180° | (x, y) → (–x, –y) | half turn |
90° clockwise | (x, y) → (y, –x) | turn right |
Rotation | A′ | B′ | D′ |
90° anticlockwise | (0, –1) | (2, 0) | (0, –3) |
180° | (1, 0) | (0, 2) | (3, 0) |
90° clockwise | (0, 1) | (–2, 0) | (0, 3) |