which angle of rotational symmetry

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What is rotational symmetry?

Back

Rotational symmetry is a property of a shape that looks the same after a certain amount of rotation. A shape has rotational symmetry if it can be rotated (less than a full turn) about a center point and still look the same.

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How do you determine the angle of rotational symmetry for a regular polygon?

Back

The angle of rotational symmetry for a regular polygon can be determined by dividing 360 degrees by the number of sides (n) of the polygon. The formula is: Angle = 360° / n.

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What is the angle of rotational symmetry for a regular triangle?

Back

The angle of rotational symmetry for a regular triangle (3 sides) is 120 degrees (360° / 3 = 120°).

Front

What is the angle of rotational symmetry for a square?

Back

The angle of rotational symmetry for a square (4 sides) is 90 degrees (360° / 4 = 90°).

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What is the angle of rotational symmetry for a regular pentagon?

Back

The angle of rotational symmetry for a regular pentagon (5 sides) is 72 degrees (360° / 5 = 72°).

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What is the angle of rotational symmetry for a regular hexagon?

Back

The angle of rotational symmetry for a regular hexagon (6 sides) is 60 degrees (360° / 6 = 60°).

Front

If a shape has 8 sides, what is its angle of rotational symmetry?

Back

If a shape has 8 sides (an octagon), its angle of rotational symmetry is 45 degrees (360° / 8 = 45°).

Front

What is the significance of rotational symmetry in art and design?

Back

Rotational symmetry is significant in art and design as it creates balance and harmony in visual compositions, making them aesthetically pleasing.

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Can a shape have more than one angle of rotational symmetry?

Back

Yes, a shape can have multiple angles of rotational symmetry. For example, a square has rotational symmetry at 90°, 180°, and 270°.

Front

What is the relationship between rotational symmetry and the number of sides in a polygon?

Back

The number of sides in a polygon directly determines the angles of rotational symmetry. More sides result in smaller angles of rotation that map the shape onto itself.