Rotations on a Coordinate Plane

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 center of rotation?

Back

The center of rotation is the fixed point around which a figure is rotated.

Front

What is the effect of a 90° counterclockwise rotation on a point (x, y)?

Back

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

Front

What is the effect of a 90° clockwise rotation on a point (x, y)?

Back

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

Front

What is the effect of a 180° rotation on a point (x, y)?

Back

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

Front

What is the effect of a 270° counterclockwise rotation on a point (x, y)?

Back

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

Front

What is the effect of a 270° clockwise rotation on a point (x, y)?

Back

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

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in the same direction.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but not its shape, by a scale factor.