Rotation in the Coordinate Plane

Front

What is rotation in the coordinate plane?

Back

Rotation in the coordinate plane refers to turning a figure around a fixed point, usually the origin, by a certain angle in a specific direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the standard angle of rotation for a 90-degree counterclockwise rotation?

Back

The standard angle of rotation for a 90-degree counterclockwise rotation is represented as (x, y) -> (-y, x).

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 (-3, -4).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you determine the quadrant of a point after a 270-degree rotation?

Back

After a 270-degree rotation, the point (x, y) moves to (y, -x), which can help determine its new quadrant.

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.4.MD.C.5B

CCSS.HSG.CO.A.1

Front

What are the two directions of rotation?

Back

The two directions of rotation are clockwise and counterclockwise.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a figure is rotated 90 degrees clockwise, what is the transformation rule?

Back

The transformation rule is (x, y) -> (y, -x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point when it is rotated 180 degrees?

Back

The coordinates change from (x, y) to (-x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How can you visualize a 270-degree rotation?

Back

A 270-degree rotation can be visualized as a 90-degree clockwise rotation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the image of the point (2, -3) after a 90-degree counterclockwise rotation?

Back

The image is (-3, -2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5