I'll work through this rotational symmetry problem step by step.
Rotational symmetry means: how many times does a shape look exactly the same when you rotate it 360° (a full circle)?
Let me analyze each shape:
Shape (1) - A circle with a dot in the center and two curved lines
- When rotated, it only looks the same after a full 360° rotation
- Order of rotational symmetry = 1
Shape (2) - Six triangles arranged around a center point
- This looks like a pinwheel with 6 identical parts
- It matches itself every 60° (360° ÷ 6)
- Order of rotational symmetry = 6
Shape (3) - Four "propeller blades" arranged symmetrically
- Has 4 identical parts equally spaced
- Matches every 90° (360° ÷ 4)
- Order of rotational symmetry = 4
Shape (4) - Three rectangles arranged around a center
- Has 3 identical parts
- Matches every 120° (360° ÷ 3)
- Order of rotational symmetry = 3
Shape (5) - A four-pointed star
- Has 4 identical points equally spaced
- Matches every 90° (360° ÷ 4)
- Order of rotational symmetry = 4
Shape (6) - A diamond/rhombus
- Looks the same twice in a full rotation (at 0° and 180°)
- Order of rotational symmetry = 2
Shape (7) - An irregular zigzag shape
- Only looks the same after a full 360° rotation
- Order of rotational symmetry = 1
Shape (8) - Two overlapping circles
- Looks the same twice in a full rotation
- Order of rotational symmetry = 2
Shape (9) - Four triangles at corners of a square
- Has 4 identical parts
- Matches every 90° (360° ÷ 4)
- Order of rotational symmetry = 4
Final Answer:
(1) Order = 1
(2) Order = 6
(3) Order = 4
(4) Order = 3
(5) Order = 4
(6) Order = 2
(7) Order = 1
(8) Order = 2
(9) Order = 4
Parent Tip: Review the logic above to help your child master the concept of angle of rotation worksheet.