Practice Rotational Symmetry in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A figure has rotational symmetry if it looks identical after being rotated by some angle less than 360° about a central point. The order of rotational symmetry is the number of distinct positions where the figure looks the same during a full rotation.
If you turn it and it still fits exactly, it has rotational symmetry.
Example 1
easyDetermine the order of rotational symmetry and the minimum angle of rotation for a regular hexagon.
Example 2
mediumWhich of the letters 'S' and 'H' has rotational symmetry? State the order and angle for each that qualifies.
Example 3
easyA figure has rotational symmetry of order 4. List all angles of rotation that map it onto itself.
Example 4
mediumEquilateral triangle ABC is centred at the origin. A 120° counterclockwise rotation maps A \to B. What does C map to, and what is the order of symmetry?