Rotations of shapes

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a shape around a fixed point, called the center of rotation, by a certain angle.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a shape is rotated.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does a 90° clockwise rotation mean?

Back

A 90° clockwise rotation turns a shape 90 degrees to the right around the center of rotation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does a 90° counterclockwise rotation mean?

Back

A 90° counterclockwise rotation turns a shape 90 degrees to the left around the center of rotation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a 180° rotation?

Back

A 180° rotation turns a shape halfway around the center of rotation, resulting in a shape that is upside down.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you determine the angle of rotation?

Back

The angle of rotation is determined by how far the shape is turned around the center of rotation, measured in degrees.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point after a 90° clockwise rotation?

Back

For a point (x, y), after a 90° clockwise rotation, the new coordinates become (y, -x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point after a 90° counterclockwise rotation?

Back

For a point (x, y), after a 90° counterclockwise rotation, the new coordinates become (-y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a 180° rotation on the coordinates of a point?

Back

For a point (x, y), after a 180° rotation, the new coordinates become (-x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

Can a shape overlap itself after rotation?

Back

Yes, a shape can overlap itself after rotation, especially if the angle of rotation is a multiple of 180°.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5