Rotational and Reflection 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 reflection symmetry?

Back

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

Front

How do you determine the number of lines of symmetry in a shape?

Back

Count the number of ways you can fold the shape such that both halves match perfectly.

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

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

Back

The angle of rotation is 90 degrees (360 degrees divided by 4).

Front

How do you find the smallest angle of rotation for a regular polygon?

Back

The smallest angle of rotation is found by dividing 360 degrees by the number of sides of the polygon.

Front

What is the relationship between the number of lines of symmetry and the order of rotational symmetry in regular polygons?

Back

In regular polygons, the number of lines of symmetry is equal to the order of rotational symmetry.

Front

What is the angle of rotation for a regular hexagon?

Back

The angle of rotation for a regular hexagon is 60 degrees (360 degrees divided by 6).

Front

How many lines of symmetry does a regular pentagon have?

Back

A regular pentagon has 5 lines of symmetry.

Front

What is the significance of symmetry in art and nature?

Back

Symmetry is often associated with beauty and balance, and it can be found in various forms in art and nature.