Rotations

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a specified angle in a specified direction.

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 figure is rotated.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How does a 90-degree clockwise rotation affect the coordinates of a point (x, y)?

Back

A 90-degree clockwise rotation transforms the point (x, y) to (y, -x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How does a 180-degree rotation affect the coordinates of a point (x, y)?

Back

A 180-degree rotation transforms the point (x, y) to (-x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of rotating the point (3, 4) 180 degrees around the origin?

Back

The result is the point (-3, -4).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of rotating the point (-3, -4) 180 degrees around the origin?

Back

The result is the point (3, 4).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the angle of rotation for a full rotation?

Back

The angle of rotation for a full rotation is 360 degrees.

Tags

CCSS.HSG.CO.A.1

CCSS.4.MD.C.5B

Front

What is the difference between clockwise and counterclockwise rotation?

Back

Clockwise rotation moves in the same direction as the hands of a clock, while counterclockwise rotation moves in the opposite direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If triangle C is rotated 180° clockwise, what is the new position of its vertices?

Back

Each vertex of triangle C will be moved to a position that is directly opposite its original position relative to the center of rotation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the image of the point (0, 0) after any rotation?

Back

The image of the point (0, 0) remains (0, 0) after any rotation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5