Geometric Rotations

Front

What is a geometric rotation?

Back

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

Front

How many degrees is a full rotation?

Back

A full rotation is 360 degrees.

Front

What is the center of rotation?

Back

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

Front

What happens to the coordinates of a point (x, y) when it is rotated 90 degrees counterclockwise about the origin?

Back

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

Front

What happens to the coordinates of a point (x, y) when it is rotated 180 degrees about the origin?

Back

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

Front

What happens to the coordinates of a point (x, y) when it is rotated 270 degrees counterclockwise about the origin?

Back

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

Front

What is the rule for a 180° clockwise rotation about the origin?

Back

The rule is (x, y) → (-x, -y).

Front

What does it mean for a rotation to preserve congruence?

Back

It means that the shape and size of the figure remain unchanged after the rotation.

Front

What is the difference between rotation and reflection?

Back

Rotation turns a figure around a point, while reflection flips a figure over a line.

Front

If a figure is rotated 90 degrees clockwise, what is the new position of point (2, 3)?

Back

The new position will be (3, -2).