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 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

What is the angle of rotation?

Back

The angle of rotation is the measure of the degree through which a figure is rotated around the center of rotation.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

How do you rotate a point (x, y) 90° counterclockwise about the origin?

Back

The new coordinates after a 90° counterclockwise rotation are (-y, x).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

How do you rotate a point (x, y) 90° clockwise about the origin?

Back

The new coordinates after a 90° clockwise rotation are (y, -x).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What are the new coordinates of the point (3, 4) after a 180° rotation about the origin?

Back

The new coordinates are (-3, -4).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What happens to the coordinates of a point after a 270° counterclockwise rotation?

Back

The new coordinates are (y, -x).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the result of rotating the point (1, 2) 180° about the origin?

Back

The result is (-1, -2).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

If a triangle is rotated 90° counterclockwise, how does the orientation change?

Back

The triangle's orientation changes to a position that is perpendicular to its original position.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the effect of a 360° rotation on a figure?

Back

A 360° rotation results in the figure returning to its original position.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3