Question

directions: for each of the figures below write the order of rotational symmetry. if the figure has no rotational symmetry write
o rotational symmetry\ next to the figure.
9
order: ______
10
order: ______
11
order: ______
12
order: ______
13
order: ______
14
order: ______
15
order: ______
16
order: ______
17
order: ______
18
order: ______
19
order: ______
20
order: ______

Explanation:

Step1: Define rotational symmetry order

The order of rotational symmetry is the number of times a shape maps onto itself when rotated 360°.

Step2: Analyze Figure 9

Shape maps to itself at 180° and 360°.
Number of mappings: 2

Step3: Analyze Figure 10

Shape only maps to itself at 360°.
Number of mappings: 1 → no rotational symmetry

Step4: Analyze Figure 11

Shape maps to itself 6 times in 360°.
Number of mappings: 6

Step5: Analyze Figure 12

Shape maps to itself 4 times in 360°.
Number of mappings: 4

Step6: Analyze Figure 13

Shape only maps to itself at 360°.
Number of mappings: 1 → no rotational symmetry

Step7: Analyze Figure 14

Shape maps to itself 4 times in 360°.
Number of mappings: 4

Step8: Analyze Figure 15

Shape maps to itself 8 times in 360°.
Number of mappings: 8

Step9: Analyze Figure 16

Shape maps to itself 2 times in 360°.
Number of mappings: 2

Step10: Analyze Figure 17

Shape maps to itself 6 times in 360°.
Number of mappings: 6

Step11: Analyze Figure 18

Shape only maps to itself at 360°.
Number of mappings: 1 → no rotational symmetry

Step12: Analyze Figure 19

Shape maps to itself 2 times in 360°.
Number of mappings: 2

Step13: Analyze Figure 20

Shape maps to itself 3 times in 360°.
Number of mappings: 3

Answer:

1. Order: 2
2. Order: no rotational symmetry
3. Order: 6
4. Order: 4
5. Order: no rotational symmetry
6. Order: 4
7. Order: 8
8. Order: 2
9. Order: 6
10. Order: no rotational symmetry
11. Order: 2
12. Order: 3