1. The order of rotation of a shape is the number of times the shape looks exactly the same as it rotates through 360 degrees.
2. For question 9, the shape is a six-pointed star (hexagram), which has rotational symmetry of order 6 because it looks the same every 60 degrees (360/6 = 60). So, the correct answer is C.
3. For question 10, an equilateral triangle has rotational symmetry of order 3 because it looks the same every 120 degrees (360/3 = 120). So, the correct answer is B.
4. For question 11, the shape is a square with rounded corners, which has rotational symmetry of order 4 because it looks the same every 90 degrees (360/4 = 90). So, the correct answer is B.
5. For question 12, we compare the shapes:
- Shape A is a square with rounded corners, which has order 4.
- Shape B is a regular hexagon, which has order 6.
- Shape C is a regular octagon, which has order 8.
- Shape D is an irregular polygon, which has order 1 (only looks the same after a full 360-degree rotation).
6. The shape with the greatest order of rotational symmetry is the regular octagon (Shape C), which has order 8.
Final answers:
9. C
10. B
11. B
12. C
Parent Tip: Review the logic above to help your child master the concept of rotational symmetry worksheet with answers.