2.11 Mapping and 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.

Front

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

Back

The order of rotational symmetry for a regular pentagon is 5, meaning it can be rotated 5 times (including 0 degrees) to look the same.

Front

What angles can a regular pentagon be rotated to map onto itself?

Back

A regular pentagon can be rotated by 72 degrees, 144 degrees, 216 degrees, 288 degrees, and 360 degrees to map onto itself.

Front

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

Back

The angle of rotation for a regular polygon can be determined using the formula: 360 degrees divided by the number of sides.

Front

What is the reflectional symmetry of a regular pentagon?

Back

A regular pentagon has 5 lines of reflectional symmetry, each passing through a vertex and the midpoint of the opposite side.

Front

What is the significance of the y-axis reflection for a regular pentagon?

Back

The y-axis reflection is one of the transformations that can map a regular pentagon onto itself, demonstrating its symmetry.

Front

What is the relationship between the number of sides of a polygon and its rotational symmetry?

Back

The number of sides of a polygon directly affects its rotational symmetry; a polygon with 'n' sides has 'n' angles of rotation that map it onto itself.

Front

What is the angle of rotation for a regular hexagon?

Back

The angle of rotation for a regular hexagon is 60 degrees, as it can be rotated 6 times (including 0 degrees) to look the same.

Front

How many degrees is a full rotation?

Back

A full rotation is 360 degrees.

Front

What is the formula to find the number of lines of symmetry in a regular polygon?

Back

The number of lines of symmetry in a regular polygon is equal to the number of sides.