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Class 5
Chapter 10: Symmetrical Designs
A figure has rotational symmetry if it looks the same after a turn. The order of symmetry counts how many times it matches in one full turn.
Learning outcomes
- Use lines and rotational symmetry
- Design rangoli using symmetry rules
Activities
- Make a symmetric rangoli on paper
Worked examples
Read through these first, then try the practice below.
Example 1 — Order of rotational symmetry
An equilateral triangle looks the same every 120° turn. What is its order of rotational symmetry?
Solution: It matches 3 times in a full turn, so order = 3.
Example 2 — Square symmetry
What is the order of rotational symmetry of a square?
Solution: A square matches every 90°, so order = 4.
Self-do practice
Question 1 of 3 · Score 0/0What is the order of rotational symmetry of a regular hexagon?
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