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Identify lines of symmetry in shapes
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Symmetry means a shape looks the same on both sides when you fold it or flip it.
Think of a butterfly - if you draw a line down the middle, both sides look the same!
Line of symmetry: An imaginary line where you can fold a shape and both halves match perfectly.
Examples:
How to find lines of symmetry:
No lines of symmetry:
Does the letter "H" have line symmetry? If yes, how many lines of symmetry does it have?
Yes! The letter "H" has 2 lines of symmetry:
Both halves match perfectly when you fold along these lines! ✓
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1 line of symmetry:
2 lines of symmetry:
3 lines of symmetry:
4 lines of symmetry:
Many lines of symmetry:
Rotational symmetry: When you can turn (rotate) a shape and it looks the same before you turn it all the way around.
Examples:
Nature:
Man-made:
To check for symmetry:
Drawing symmetric shapes:
❌ Thinking all shapes have symmetry (they don't!) ❌ Forgetting to check all possible lines ❌ Confusing line symmetry with rotational symmetry
✅ Remember: Line symmetry = fold and match ✅ Rotational symmetry = turn and it looks the same
Draw all lines of symmetry for a square.
A square has 4 lines of symmetry:
All 4 lines divide the square into matching halves! ✓
Which capital letters have exactly 1 line of symmetry: A, B, C, or D?
The letters with exactly 1 line of symmetry are:
All four letters have exactly 1 line of symmetry!
Does a circle have rotational symmetry? How many times does it match itself in one full turn?
Yes! A circle has rotational symmetry.
It matches itself infinite times during one full turn!
No matter how much you rotate a circle, it always looks exactly the same. Every point on the circle is the same distance from the center.
This is called "infinite rotational symmetry" ✓
Complete this symmetrical shape: If the left half shows a triangle with base 4 cm, what should the right half show?
The right half should show:
An identical triangle with base 4 cm
For line symmetry, both sides must be mirror images:
The completed shape would be a larger triangle or a diamond/kite shape made of two triangles! ✓