Rotations!

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle in a specific direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What are the coordinates of a point (x, y) after a 180° rotation?

Back

(-x, -y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the angle of rotation for a 90° clockwise rotation?

Back

90° clockwise means the figure is turned 90 degrees to the right.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the angle of rotation for a 90° counterclockwise rotation?

Back

90° counterclockwise means the figure is turned 90 degrees to the left.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point (x, y) after a 90° clockwise rotation?

Back

The new coordinates will be (y, -x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point (x, y) after a 90° counterclockwise rotation?

Back

The new coordinates will be (-y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of a 270° clockwise rotation?

Back

A 270° clockwise rotation is equivalent to a 90° counterclockwise rotation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the term for the original figure before a transformation?

Back

Preimage.

Tags

CCSS.HSG.CO.A.2

Front

What is the term for the figure after a transformation?

Back

Image.

Tags

CCSS.HSG.CO.A.2

Front

If triangle A is rotated 90° clockwise, what is the new position of point A?

Back

The new position will depend on the original coordinates of point A.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5