Rotations

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a specified angle in a specified direction.

Front

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

Back

(x,y) → (-x,-y)

Front

What is the image of the point (-5,8) when rotated 180 degrees counterclockwise around the origin?

Back

(5,-8)

Front

What is the image of the point (-4,9) when rotated 270 degrees counterclockwise around the origin?

Back

(9,4)

Front

How many degrees are in one full rotation?

Back

360 degrees

Front

How many turns on a coordinate plane is 360 degrees?

Back

1 turn

Front

What is the point called that serves as the center of rotation?

Back

Point of Rotation

Front

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

Back

(x,y) → (y,-x)

Front

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

Back

(x,y) → (-y,x)

Front

If a point is rotated 360 degrees, what is its new position?

Back

The point remains in the same position.