Rotations

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle in a specific 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

What does a 90° clockwise rotation do to the coordinates (x, y)?

Back

A 90° clockwise rotation transforms the coordinates (x, y) to (y, -x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does a 90° counterclockwise rotation do to the coordinates (x, y)?

Back

A 90° counterclockwise rotation transforms the coordinates (x, y) to (-y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates (x, y) when rotated 180°?

Back

When rotated 180°, the coordinates (x, y) become (-x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If triangle A is at (2, 3), what are the new coordinates after a 90° clockwise rotation?

Back

The new coordinates after a 90° clockwise rotation would be (3, -2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is another term for rotation?

Back

Turn.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you determine the new position of a point after rotation?

Back

To determine the new position, apply the rotation rules for the specific angle and direction to the original coordinates.

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

Front

What is the effect of rotating a figure multiple times?

Back

Rotating a figure multiple times can result in the figure returning to its original position if the total rotation is a multiple of 360°.

Tags

CCSS.8.G.A.3