- Definition
Rotational symmetry means that if you spin a shape around its middle, it looks exactly the same before it completes a full circle. For example, a square looks the same after you turn it a quarter, half, or three-quarters of the way around.
A square has rotational symmetry because you can turn it a quarter turn and it looks exactly the same as when it started.
How to teach this in 30 seconds
Try this analogy: Rotational symmetry is like a pinwheel that looks identical several times before it makes a full circle.
Ask your child: As you spin this shape, how many times does it look the same?
Common mix-up: Kids might think any symmetry is about folding a shape in half. Rotational symmetry is about turning a shape, not folding it, and seeing if it looks the same.
Examples
- An equilateral triangle looks the same after you turn it one-third of the way around.
- The blades of a ceiling fan have rotational symmetry.
- A rectangle only looks the same after a half turn, not a quarter turn like a square does.
rotational symmetry is a term used in Ontario’s Kindergarten to Grade 8 curriculum.
Where this shows up
The descriptions on this page are SmartStudy’s own original, plain-language writing — not the Ministry’s wording. They are aligned to the Ontario Curriculum, © King’s Printer for Ontario. For the Ministry’s official wording, see the source link below. SmartStudy is an independent service and is not affiliated with, endorsed by, or sponsored by the Government of Ontario or the Ministry of Education. Ontario Curriculum and Resources ↗
