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 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

What is the angle of rotation?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point (x, y) when it is rotated 90° counterclockwise about the origin?

Back

The new coordinates will be (-y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point (x, y) when it is rotated 180° about the origin?

Back

The new coordinates will be (-x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point (x, y) when it is rotated 270° counterclockwise about the origin?

Back

The new coordinates will be (y, -x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If point A(3, 4) is rotated 90° counterclockwise about the origin, what are the new coordinates?

Back

(-4, 3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If point B(-2, 5) is rotated 180° about the origin, what are the new coordinates?

Back

(2, -5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If point C(1, -3) is rotated 270° counterclockwise about the origin, what are the new coordinates?

Back

(-3, -1)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of rotating a triangle 90° counterclockwise?

Back

The vertices of the triangle will change positions based on the rotation rules for each vertex.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5