Rotations on a Coordinate Plane

Front

What is a rotation in a coordinate plane?

Back

A rotation is a transformation that turns a figure around a fixed point, called 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 do you rotate a point 90° clockwise around the origin?

Back

To rotate a point (x, y) 90° clockwise, the new coordinates will be (y, -x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What are the coordinates of a point after a 180° rotation around the origin?

Back

After a 180° rotation, the coordinates of a point (x, y) become (-x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of rotating a point (3, 4) 90° clockwise?

Back

The new coordinates will be (4, -3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of rotating a point (3, 4) 270° counterclockwise?

Back

The new coordinates will be (-4, 3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in the same direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a triangle is rotated 90° clockwise, what happens to its orientation?

Back

The triangle's orientation changes, and its vertices will be in a new position based on the rotation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the angle of rotation for a full turn?

Back

The angle of rotation for a full turn is 360°.

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1