Rotational & Reflectional Symmetry

Front

What is rotational symmetry?

Back

A shape has rotational symmetry if it can be rotated around a central point and still look the same at certain angles.

Front

What is reflectional symmetry?

Back

A shape has reflectional symmetry if it can be divided into two identical halves that are mirror images of each other.

Front

How many lines of symmetry does a square have?

Back

A square has 4 lines of symmetry.

Front

How many lines of symmetry does a circle have?

Back

A circle has an infinite number of lines of symmetry.

Front

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

Back

The angle of rotation is 120 degrees.

Front

What is the relationship between lines of symmetry and reflectional symmetry?

Back

Each line of symmetry represents a way to reflect the shape into two identical halves.

Front

Can a shape have both rotational and reflectional symmetry? Give an example.

Back

Yes, a shape can have both. For example, a regular hexagon has both types of symmetry.

Front

What is the minimum number of lines of symmetry a shape can have?

Back

The minimum number of lines of symmetry a shape can have is 0.

Front

Is a triangle always symmetrical?

Back

No, not all triangles are symmetrical. Only equilateral triangles have reflectional symmetry.

Front

What is the significance of the center of rotation in rotational symmetry?

Back

The center of rotation is the point around which the shape is rotated to achieve symmetry.