rotational symmetry

Front

What is rotational symmetry?

Back

Rotational symmetry is a property of a shape that looks the same after a certain amount of rotation. The shape can be rotated around a central point and still appear unchanged.

Front

What is the order of rotational symmetry?

Back

The order of rotational symmetry is the number of times a shape fits onto itself during a full rotation of 360 degrees.

Front

How do you calculate the angle of rotational symmetry?

Back

The angle of rotational symmetry can be calculated by dividing 360 degrees by the order of rotational symmetry.

Front

What is the angle of rotational symmetry for a shape with an order of 4?

Back

The angle of rotational symmetry for a shape with an order of 4 is 90 degrees (360° ÷ 4).

Front

What is the angle of rotational symmetry for a shape with an order of 3?

Back

The angle of rotational symmetry for a shape with an order of 3 is 120 degrees (360° ÷ 3).

Front

What is the angle of rotational symmetry for a shape with an order of 10?

Back

The angle of rotational symmetry for a shape with an order of 10 is 36 degrees (360° ÷ 10).

Front

What is an example of a shape with rotational symmetry of order 2?

Back

An example of a shape with rotational symmetry of order 2 is a rectangle.

Front

What is an example of a shape with rotational symmetry of order 3?

Back

An example of a shape with rotational symmetry of order 3 is an equilateral triangle.

Front

What is the relationship between the order of rotational symmetry and the angles of rotation?

Back

The relationship is that the order of rotational symmetry determines how many times the shape can be rotated to look the same, and each rotation corresponds to a specific angle calculated as 360° divided by the order.

Front

Can a shape have rotational symmetry without having reflective symmetry?

Back

Yes, a shape can have rotational symmetry without having reflective symmetry. For example, a spiral has rotational symmetry but does not have reflective symmetry.