Geometry Semester Review Topic 3

Front

What is reflectional symmetry?

Back

Reflectional symmetry occurs when a figure can be divided into two identical halves that are mirror images of each other.

Front

What is rotational symmetry?

Back

Rotational symmetry exists when a figure can be rotated around a central point and still look the same at certain angles.

Front

How can you determine if a figure has reflectional symmetry?

Back

To determine reflectional symmetry, draw a line (axis of symmetry) through the figure. If both sides are mirror images, it has reflectional symmetry.

Front

How can you determine if a figure has rotational symmetry?

Back

To determine rotational symmetry, rotate the figure around a central point. If it looks the same at any angle less than 360 degrees, it has rotational symmetry.

Front

What is an example of a shape with reflectional symmetry?

Back

A butterfly is an example of a shape with reflectional symmetry.

Front

What is an example of a shape with rotational symmetry?

Back

A star is an example of a shape with rotational symmetry.

Front

Can a figure have both reflectional and rotational symmetry?

Back

Yes, a figure can have both types of symmetry, such as a circle, which has infinite rotational symmetry and reflectional symmetry.

Front

What is the axis of symmetry?

Back

The axis of symmetry is a line that divides a figure into two mirror-image halves.

Front

What is the order of rotational symmetry?

Back

The order of rotational symmetry is the number of times a figure matches its original position during a full rotation of 360 degrees.

Front

What is the relationship between reflectional and rotational symmetry?

Back

Reflectional symmetry involves a mirror image, while rotational symmetry involves turning the figure. They can coexist in some shapes.