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 certain angle in a specified direction.

Front

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

Back

(x, y) → (-y, x)

Front

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

Back

(x, y) → (-x, -y)

Front

What is the rule for rotating a point (x, y) 270° counterclockwise?

Back

(x, y) → (y, -x)

Front

How do you determine the image of a point after a rotation?

Back

Apply the appropriate rotation rule to the coordinates of the point.

Front

What is the image of the point W(-5, -3) after a rotation of 270° counterclockwise?

Back

W'(-3, 5)

Front

What happens to the coordinates of a point when it is rotated 90° clockwise?

Back

The coordinates change from (x, y) to (y, -x).

Front

What is the image of the point (2, 3) after a 180° rotation?

Back

(-2, -3)