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.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the center of rotation?

Back

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

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

How do you rotate a point 90 degrees counterclockwise around the origin?

Back

To rotate a point (x, y) 90 degrees counterclockwise around the origin, the new coordinates will be (-y, x).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

How do you rotate a point 180 degrees around the origin?

Back

To rotate a point (x, y) 180 degrees around the origin, the new coordinates will be (-x, -y).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

How do you rotate a point 270 degrees counterclockwise around the origin?

Back

To rotate a point (x, y) 270 degrees counterclockwise around the origin, the new coordinates will be (y, -x).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What are the coordinates of the image of the point (-5, 8) after a 270-degree counterclockwise rotation around the origin?

Back

(8, 5)

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What are the coordinates of the image of the point (-3, -4) after a 180-degree rotation around the origin?

Back

(3, 4)

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the result of rotating the point (3, 5) 90 degrees counterclockwise around the origin?

Back

(-5, 3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What are the coordinates of point A' if point A (-5, 3) is rotated 90 degrees counterclockwise around the origin?

Back

(-3, -5)

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the image of triangle ABC after rotating it 90 degrees counterclockwise about the origin?

Back

The coordinates of each vertex will change according to the rotation rules.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5