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 specific direction.

Front

What does it mean to rotate 90 degrees clockwise about the origin?

Back

It means to turn a figure 90 degrees in the direction of the clock hands around the origin point (0,0) on a coordinate plane.

Front

What does it mean to rotate 90 degrees counterclockwise about the origin?

Back

It means to turn a figure 90 degrees in the opposite direction of the clock hands around the origin point (0,0) on a coordinate plane.

Front

What is the effect of rotating a point (x, y) 90 degrees clockwise?

Back

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

Front

What is the effect of rotating a point (x, y) 90 degrees counterclockwise?

Back

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

Front

What is the effect of rotating a point (x, y) 180 degrees about the origin?

Back

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

Front

How do you determine the direction of rotation?

Back

The direction of rotation can be determined by the angle and whether it is specified as clockwise (CW) or counterclockwise (CCW).

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 shape of a figure when it is rotated?

Back

The shape and size of the figure remain unchanged; only its position changes.

Front

Can a rotation change the orientation of a figure?

Back

Yes, a rotation can change the orientation of a figure, such as flipping it upside down.