Rotational Symmetry Practice

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.

Tags

CCSS.HSG.CO.A.4

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.

Tags

CCSS.HSG.CO.A.4

Front

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

Back

The angle of rotation is 90 degrees (360° ÷ 4).

Tags

CCSS.HSG.CO.A.4

Front

If a shape has an order of 5, what is the angle of rotation?

Back

The angle of rotation is 72 degrees (360° ÷ 5).

Tags

CCSS.HSG.CO.A.4

Front

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

Back

The angle of rotational symmetry is 36 degrees (360° ÷ 10).

Tags

CCSS.HSG.CO.A.4

Front

How do you determine the order of rotational symmetry?

Back

To determine the order of rotational symmetry, rotate the shape around its center and count how many times it matches its original position in one full rotation (360°).

Tags

CCSS.HSG.CO.A.4

Front

What is the order of rotational symmetry for a square?

Back

The order of rotational symmetry for a square is 4.

Tags

CCSS.HSG.CO.A.4

Front

What is the order of rotational symmetry for an equilateral triangle?

Back

The order of rotational symmetry for an equilateral triangle is 3.

Tags

CCSS.HSG.CO.A.4

Front

Can a shape have rotational symmetry of order 1?

Back

Yes, a shape with rotational symmetry of order 1 looks the same only at 0° and 360° rotation, meaning it does not have any other matching positions.

Tags

CCSS.HSG.CO.A.4

Front

What is the relationship between order of symmetry and angle of rotation?

Back

The relationship is given by the formula: Angle of rotation = 360° ÷ Order of symmetry.

Tags

CCSS.HSG.CO.A.4