Go beyond simple line symmetry to explore reflection and rotational symmetry in shapes and patterns.
A shape has reflection symmetry if it can be folded along a line so both halves match exactly — like a mirror image. That fold line is the axis of symmetry.
How many lines of symmetry does a rectangle (not a square) have?
2 — one horizontal, one vertical
Does a scalene triangle (all sides different) have any lines of symmetry?
No, since no fold line would make the two halves match
A shape has rotational symmetry if it looks the same after being rotated by some angle less than a full 360° turn around its center. The order of rotational symmetry is how many times it matches during one full rotation.
What is the order of rotational symmetry of an equilateral triangle?
3, since rotating by 120° three times brings it back to matching positions
Does the letter 'S' have rotational symmetry? If so, what order?
Yes, order 2 — rotating it 180° makes it look the same
1. How many lines of symmetry does an isosceles triangle (not equilateral) have?
2. Does the letter 'A' have a line of symmetry?
3. What is the order of rotational symmetry of a regular pentagon?
4. Does the letter 'Z' have rotational symmetry? If so, what order?
5. What is the order of rotational symmetry of a square?