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.

Front

What does it mean to rotate a figure counterclockwise?

Back

To rotate a figure counterclockwise means to turn it to the left around the center of rotation.

Front

What does it mean to rotate a figure clockwise?

Back

To rotate a figure clockwise means to turn it to the right around the center of rotation.

Front

What is the angle of rotation for a full rotation?

Back

360 degrees.

Front

What is the angle of rotation for a quarter turn?

Back

90 degrees.

Front

What is the angle of rotation for a half turn?

Back

180 degrees.

Front

What is the angle of rotation for three-quarters turn?

Back

270 degrees.

Front

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

Back

(x, y) --> (-y, x).

Front

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

Back

(x, y) --> (y, -x).

Front

What is the rule for rotating a point (x, y) 180 degrees about the origin?

Back

(x, y) --> (-x, -y).