Rotational Symmetry Worksheet

Name:

Date:

📚 Part 1: Understanding Rotational Symmetry

1. A shape has rotational symmetry when it looks exactly the same after being rotated by a certain angle around its centre. What is the name of the fixed point around which a shape rotates?

Centre of rotation

Centre of symmetry

Rotation point

Turning centre

2. Which of these shapes have rotational symmetry? (Check all that apply)

Square

Equilateral triangle

Regular pentagon

Letter 'F'

Circle

3. A regular hexagon has an order of rotational symmetry of 6. What does this mean?

It has 6 sides

It can be rotated 6 times to look the same

It looks the same in 6 different positions during a full turn

It has 6 angles

4. If a shape has an order of rotational symmetry of 4, what is the angle of rotation?

Angle of rotation = _____________°

🔍 Part 2: Calculating and Identifying

5. Complete the table by finding the order of rotational symmetry for each shape:

Square: Order = _______

Regular octagon: Order = _______

Equilateral triangle: Order = _______

Rectangle (not square): Order = _______

6. List three real-life objects or designs that show rotational symmetry:

7. Explain why a regular star with 5 points has rotational symmetry, but the letter 'P' does not:

✂️ Part 3: Hands-On Investigation

8. Activity: Your teacher will provide you with cut-outs of different shapes and tracing paper. Choose three shapes and investigate their rotational symmetry.

Instructions:

• Place each shape on the tracing paper and trace around it

• Mark the centre of rotation with a dot

• Rotate the shape and count how many times it fits exactly onto the traced outline during one full turn

Shape 1: ________________

Order of rotational symmetry: _______

Angle of rotation: _______°

Shape 2: ________________

Order of rotational symmetry: _______

Angle of rotation: _______°

Shape 3: ________________

Order of rotational symmetry: _______