📐 Part 1: Identifying Symmetry in 3D Shapes

1. A cube has how many planes of symmetry?

3 planes

6 planes

9 planes

12 planes

2. Which 3D shapes have rotational symmetry? (Check all that apply)

Cylinder

Sphere

Triangular pyramid

Square prism

3. A cylinder has a plane of symmetry that:

Goes through the curved surface only

Cuts it in half horizontally through the middle

Only touches the circular faces

Goes around the outside edge

4. Which shape has the MOST planes of symmetry?

Rectangular prism

Sphere

Square pyramid

Triangular prism

✏️ Part 2: Describing Symmetry

5. Using te reo Māori mathematical terms, describe what happens when you place a mirror through a plane of symmetry on a cube. Use words like kanohi (face), kipi (edge), and ōrite (symmetry).

6. Explain how you would use a mirror to check if a rectangular prism has a plane of symmetry through its centre.

7. Think of a kowhaiwhai or tukutuku pattern you know. How does symmetry in these Māori designs relate to symmetry in 3D shapes?

🎨 Part 3: Practical Application

8. Draw or describe where you would place a mirror on a square pyramid to show one of its planes of symmetry.

9. Name two everyday objects that have similar symmetry to:

a) A cylinder: _________________ and _________________

b) A sphere: _________________ and _________________

10. Extension Challenge: If you could create a new 3D shape, describe what planes of symmetry it would have and why this would be useful in real life.