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 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

How do you rotate a point 90° counterclockwise about the origin?

Back

To rotate a point (x, y) 90° counterclockwise about the origin, the new coordinates will be (-y, x).

Front

What are the coordinates of point A (3, 5) after a 180° rotation about the origin?

Back

The coordinates will be (-3, -5).

Front

What is the rule for rotating a point 180° about the origin?

Back

The rule is (x, y) → (-x, -y).

Front

How do you rotate a point 270° counterclockwise about the origin?

Back

To rotate a point (x, y) 270° counterclockwise about the origin, the new coordinates will be (y, -x).

Front

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

Back

The image will be W' (-3, 5).

Front

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

Back

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

Front

If triangle A is rotated 90° counterclockwise, how can you determine its new position?

Back

You can apply the rotation rule to each vertex of triangle A to find the new coordinates.

Front

What is the image of point F (-2, 7) after a 180° clockwise rotation?

Back

The image will be F' (2, -7).