Rotational Symmetry: Test Your Knowledge

This video provides practice questions to test knowledge of rotational symmetry. It covers definitions, differences between rotational and reflectional symmetry, and how to determine the order of rotational symmetry for regular polygons. The video explains that a circle has infinite rotational symmetry and discusses specific cases like squares and shapes with rotational symmetry of order three and six.

What is the key characteristic of a shape with rotational symmetry?

• It has an equal number of sides and angles.

• It can be flipped across a line and still appear unchanged.

• It can be divided into two identical halves.

• It can be rotated by a certain angle and still appear unchanged.

How does a shape with rotational symmetry differ from one with reflectional symmetry?

• Rotational symmetry involves flipping across a line, while reflectional symmetry involves rotation around a point.

• Both involve rotation around a point.

• Both involve flipping across a line.

• Rotational symmetry involves rotation around a point, while reflectional symmetry involves flipping across a line.

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

• Seven

• Six

• Five

• Four

Why does a circle have infinite order of rotational symmetry?

• Because it can be rotated by any angle and still look the same.

• Because it has an infinite number of sides.

• Because it can be flipped across any line and still look the same.

• Because it has no angles.

If a shape has rotational symmetry of order six, by how many degrees must it rotate to complete a full turn?

• 45 degrees

• 60 degrees

• 30 degrees

• 90 degrees