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 mean?

Back

A 90° clockwise rotation means turning a figure 90 degrees to the right around the center of rotation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does a 90° counterclockwise rotation mean?

Back

A 90° counterclockwise rotation means turning a figure 90 degrees to the left around the center of rotation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the rule for rotating a point (x,y) 90° clockwise?

Back

The rule is (x,y) → (y, -x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the rule for rotating a point (x,y) 90° counterclockwise?

Back

The rule is (x,y) → (-y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the rule for rotating a point (x,y) 180°?

Back

The rule is (x,y) → (-x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

The new coordinates are (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

The new coordinates are (2, -5).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How many degrees is a full rotation?

Back

A full rotation is 360 degrees.

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1