Regular Polygon Rotation Symmetry

Which of the following transformations carry this regular polygon onto itself?

• Rotation of 45 degrees counterclockwise

• Rotation of 72 degrees counterclockwise

• Rotation of 60 degrees counterclockwise

How many lines of symmetry does a square have?

• 1

• 2

• 4

• 8

How many lines of symmetry does the picture have (equilateral triangle)? 

• 0 lines of symmetry

• 1 line of symmetry

• 2 lines of symmetry

• 3 lines of symmetry

What order of rotation and angle of rotation does the picture have?

• order = 0,    360⁰

• order = 1,    360⁰

• order = 2,    180⁰

• order = 3,    120⁰

What order of rotation and angle of rotation does the picture have?

• Order = 1,    360⁰

• Order = 2,    180⁰

• Order = 3,    120⁰

• Order = 5,    72⁰

Which of the following transformations carry this regular polygon onto itself?

• Rotation of 36 degrees counterclockwise

• Rotation of 120 degrees counterclockwise

• Rotation of 90 degrees counterclockwise

Does the picture have rotational symmetry?

• Yes

• No

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

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

• Square

• Hexagon

• Pentagon

• Heptagon

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

• 18°

• 36°

• 45°

• 72°