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 center of rotation?

Back

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

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) 90° counterclockwise?

Back

(x,y) → (-y,x)

Front

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

Back

(x,y) → (y,-x)

Front

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

Back

To find the image of a point after a rotation, apply the appropriate rotation rule to the coordinates of the point.

Front

What is the angle of rotation for a 90° counterclockwise rotation?

Back

90° counterclockwise means the figure is turned 90 degrees to the left.

Front

What is the angle of rotation for a 180° rotation?

Back

180° rotation means the figure is turned halfway around, resulting in an upside-down image.

Front

What is the angle of rotation for a 270° counterclockwise rotation?

Back

270° counterclockwise means the figure is turned 270 degrees to the left, or equivalently, 90 degrees clockwise.

Front

If a point (3,4) is rotated 90° counterclockwise, what is the new position?

Back

The new position is (-4,3).