Rotations in the coordinate plane

Front

What is a rotation in the coordinate plane?

Back

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

Front

What are the coordinates of a point (x, y) after a 90° counterclockwise rotation about the origin?

Back

(y, -x)

Front

What are the coordinates of a point (x, y) after a 90° clockwise rotation about the origin?

Back

(-y, x)

Front

What are the coordinates of a point (x, y) after a 180° rotation about the origin?

Back

(-x, -y)

Front

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

Back

A'(-4, 3)

Front

If point B(-2, 5) is rotated 90° clockwise about the origin, what are the new coordinates?

Back

B'(5, 2)

Front

What is the effect of a 180° rotation on the coordinates of a point?

Back

It reflects the point across the origin.

Front

How do you determine the new coordinates of a point after a rotation?

Back

Use the rotation rules for the specific angle and direction.

Front

What is the image of point C(1, -3) after a 90° counterclockwise rotation?

Back

C'(-3, -1)

Front

What is the image of point D(-4, -2) after a 180° rotation?

Back

D'(4, 2)