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. A shape has rotational symmetry if it can be rotated (less than a full circle) about a central point and still look the same.

Tags

CCSS.HSG.CO.A.4

Front

How do you determine the order of rotational symmetry?

Back

The order of rotational symmetry is determined by how many times a shape fits onto itself during a full rotation of 360 degrees.

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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, as it can be rotated at 90-degree intervals and still look the same.

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, as it can be rotated at 120-degree intervals and still look the same.

Tags

CCSS.HSG.CO.A.4

Front

What is the order of rotational symmetry for a circle?

Back

A circle has an infinite order of rotational symmetry because it looks the same at any angle of rotation.

Tags

CCSS.HSG.CO.A.4

Front

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

Back

The order of rotational symmetry for a regular pentagon is 5, as it can be rotated at 72-degree intervals and still look the same.

Tags

CCSS.HSG.CO.A.4

Front

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

Back

The order of rotational symmetry for a regular hexagon is 6, as it can be rotated at 60-degree intervals and still look the same.

Tags

CCSS.HSG.CO.A.4

Front

What is the significance of the recycling symbol's order of rotation?

Back

The recycling symbol has an order of rotation of 3, meaning it can be rotated at 120-degree intervals and still appear the same, representing the concept of recycling.

Tags

CCSS.HSG.CO.A.4

Front

How does the order of rotational symmetry relate to real-world objects?

Back

Many real-world objects, such as flowers, wheels, and stars, exhibit rotational symmetry, which can be used in design and architecture.

Tags

CCSS.HSG.CO.A.4

Front

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

Back

An example of a shape with an order of rotational symmetry of 2 is a rectangle, which looks the same when rotated 180 degrees.

Tags

CCSS.HSG.CO.A.4