Rotational Symmetry of Polygons

The order of rotational symmetry of a regular polygon is the same as its number of sides.

Find the order of rotational symmetry in this shape.

• 4

• 8

• 7

• 6

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CCSS.HSG.CO.A.4

If a shape has 6 orders of rotational symmetry, which of the following regular polygons could it be?

• Square

• Hexagon

• Pentagon

• Heptagon

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CCSS.HSG.CO.A.4

What is the angle of rotational symmetry when the order is 10?

• 18°

• 36°

• 45°

• 72°

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CCSS.HSG.CO.A.4

The order of rotational symmetry is the number of times a shape looks the same as the original shape in one whole turn of 360⁰. Find the order of rotational symmetry in this shape.

• 2

• 3

• 4

• 5

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CCSS.HSG.CO.A.4

• (1)

• (2)

• (3)

• (4)

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CCSS.HSG.CO.A.4

This is a trapezium. Describe the rotational symmetry of this shape.

• No rotational symmetry

• Rotational symmetry order 1

• Rotational symmetry order 2

• Rotational symmetry order 3

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CCSS.HSG.CO.A.4

Identify the smallest angle of rotation that maps the image to itself.

• 180°

• 360°

• 90°

• No rotational symmetry

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CCSS.HSG.CO.A.4

Identify the smallest angle of rotation that maps the image to itself.

• 72°

• 180°

• 144°

• 45°

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CCSS.HSG.CO.A.4

What is the angle of rotational symmetry when the order is 3?

• 30°

• 60°

• 90°

• 120°

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CCSS.HSG.CO.A.4

What is the smallest degree of rotational symmetry?

• 90°

• 45°

• 60°

• 120°

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CCSS.HSG.CO.A.4