2D Shape Rotations

Name:

Date:

🔄 Part 1: Understanding Rotations

1. When a shape is rotated, which properties stay the same? (Check all that apply)

Side lengths

Angle sizes

Position

Orientation

2. A triangle is rotated 90° clockwise about point P. What happens to its orientation?

It stays the same

It turns 90° clockwise

It turns 90° anticlockwise

It flips upside down

3. Which rotation is equivalent to rotating 270° clockwise?

90° clockwise

90° anticlockwise

180° clockwise

360° clockwise

4. Complete the sentence: When rotating a shape 180°, the direction (clockwise or anticlockwise) ____________ matter because the result is the same.

📐 Part 2: Rotation Practice

5. Draw the image of this square after rotating it 90° clockwise about point P:

6. A rectangle has vertices at (2,1), (4,1), (4,3), and (2,3). After rotating 90° anticlockwise about the origin, the new coordinates are:

7. Describe in your own words what happens to a shape's position and orientation when it is rotated 270° clockwise:

8. Extension: A shape is rotated 45° clockwise about point Q. Explain why this rotation might be more challenging to draw accurately than a 90° rotation:

🎯 Part 3: Real-World Applications

9. Give two real-world examples where rotation is used (e.g., clock hands moving):

Example 1: _________________________________

Example 2: _________________________________

10. Cultural Connection: Māori kōwhaiwhai patterns often use rotational symmetry. If a pattern element is rotated 120° three times about its centre, what total rotation has occurred?

240°

300°

360°

480°

11. Challenge Problem: A triangle undergoes two rotations: first 90° clockwise, then 180° anticlockwise. What single rotation would produce the same final result?