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2D Shape Rotations
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2D Shape Rotations
🎯 WALT: Rotate 2D shapes around a given point by 90°, 180°, and 270°
Part 1: Understanding Rotations
1. When we rotate a shape, which properties stay the same? (Tick 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 over
3. Which rotation is the same as rotating 270° clockwise?
90° clockwise
90° anticlockwise
180° clockwise
360° clockwise
Part 2: Practical Rotations
4. Draw the triangle after rotating it 90° clockwise about point P. Use tracing paper if needed.
5. A square has vertices at (1,1), (3,1), (3,3), and (1,3). After rotating 180° about the origin, the new position of vertex (3,1) is:
6. Describe in your own words what happens to a shape when it is rotated 180° about any point.
7. Real-world connection: Give an example of rotation you see in everyday life and describe the angle of rotation.
Part 3: Challenge Activities
8. Extension: A shape is rotated 45° clockwise about point O. Predict what properties will change and what will stay the same.
9. Problem Solving: If you rotate a shape 90° clockwise, then 180°, then 90° anticlockwise, what is the final position compared to the original?
10. Cultural Connection: Describe how rotations might be used in Māori kōwhaiwhai patterns or Pacific art designs.
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