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 specified direction (clockwise or counterclockwise).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the degree of rotation for a 90 degrees counterclockwise rotation?

Back

A 90 degrees counterclockwise rotation turns a point or figure 90 degrees to the left around the origin.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the degree of rotation for a 180 degrees rotation?

Back

A 180 degrees rotation turns a point or figure upside down around the origin.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the degree of rotation for a 270 degrees counterclockwise rotation?

Back

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

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the rule for rotating a point (x, y) 90 degrees clockwise?

Back

The rule for rotating a point (x, y) 90 degrees clockwise is (y, -x).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the rule for rotating a point (x, y) 180 degrees?

Back

The rule for rotating a point (x, y) 180 degrees is (-x, -y).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the rule for rotating a point (x, y) 270 degrees counterclockwise?

Back

The rule for rotating a point (x, y) 270 degrees counterclockwise is (-y, x).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

If the point (3, 4) is rotated 180 degrees around the origin, what is the image of the point?

Back

The image of the point (3, 4) after a 180 degrees rotation is (-3, -4).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

If the point (-5, 8) is rotated 90 degrees counterclockwise, what is the image of the point?

Back

The image of the point (-5, 8) after a 90 degrees counterclockwise rotation is (-8, -5).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the image of the point (-9, 1) after a 90 degrees clockwise rotation?

Back

The image of the point (-9, 1) after a 90 degrees clockwise rotation is (1, 9).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3