Rotational & Reflectional Symmetry HW #1

Front

What is rotational symmetry?

Back

Rotational symmetry is a property of a shape that looks the same after a certain amount of rotation. The number of times a shape fits onto itself during a full rotation (360 degrees) is called the order of rotation.

Front

What is reflectional symmetry?

Back

Reflectional symmetry, also known as line symmetry, occurs when a shape can be divided into two identical halves that are mirror images of each other across a line of symmetry.

Front

Define the order of rotation.

Back

The order of rotation is the number of times a shape can be rotated within a full 360-degree rotation and still look the same.

Front

What is the angle of rotation for a shape with order 1?

Back

The angle of rotation for a shape with order 1 is 360 degrees.

Front

What is the angle of rotation for a shape with order 2?

Back

The angle of rotation for a shape with order 2 is 180 degrees.

Front

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

Back

The angle of rotation for a shape with order 3 is 120 degrees.

Front

What transformation maps a rectangle to itself?

Back

A reflection over the line y = 4 maps the rectangle to itself.

Front

What is the effect of a 90-degree rotation on a rectangle?

Back

A 90-degree rotation does not map a rectangle onto itself.

Front

What transformation carries a regular polygon onto itself?

Back

A rotation of 120 degrees counterclockwise carries a regular polygon onto itself.

Front

What is the significance of the line of symmetry in reflectional symmetry?

Back

The line of symmetry is the line that divides a shape into two identical parts that are mirror images of each other.