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Year 5
Symmetry
Definition
A shape has line symmetry when one half is the mirror image of the other across a fold line. It has rotational symmetry when it fits onto itself before completing a full turn.
Why Do I Have to Learn This?
Symmetry is balance in shapes and patterns. Artists, architects and nature use it everywhere, from butterflies to buildings.
Key Rules:
- 1. A line of symmetry works like a fold: both halves must match exactly.
- 2. Count all the mirror lines, squares have four, circles have endless.
- 3. The order of rotational symmetry counts how many times a shape fits onto itself in one full turn.
Remember:
- •Common slip: assuming every diagonal is a mirror line, a rectangle’s diagonals are not.
- •Tracing paper is allowed in exams, use it to test turns and folds.
- •Regular shapes have as many mirror lines as they have sides.
Line
A straight path with no width, going on for ever in both directions.
You use a ruler to draw a straight line between two dots.
Animated Example:
Triangle: 3 sides
Free Symmetry Worksheet
Download free worksheets and practise today.
Every download has a fresh set of questions.
Let’s Practise the Concept
Step 1 of 3
Which move is it?
Drag each one into the right group.
Changes the way it faces
Drop them here
Keeps the way it faces
Drop them here