Rotations

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle in a specific 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 many degrees are in a full rotation?

Back

A full rotation is 360 degrees.

Front

What is the effect of rotating a figure 90 degrees clockwise?

Back

Rotating a figure 90 degrees clockwise moves each point of the figure to a new position that is 90 degrees to the right of its original position.

Front

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

Back

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

Front

What is the result of rotating a point (3, 4) 90 degrees counterclockwise about the origin?

Back

The new coordinates will be (-4, 3).

Front

If triangle ABC is rotated 180 degrees, how does the orientation of the triangle change?

Back

The orientation of the triangle is reversed.

Front

What is the difference between clockwise and counterclockwise rotation?

Back

Clockwise rotation moves in the same direction as the hands of a clock, while counterclockwise rotation moves in the opposite direction.

Front

What is the coordinate transformation for a 90 degrees clockwise rotation?

Back

The transformation is (x, y) -> (y, -x).

Front

What is the coordinate transformation for a 90 degrees counterclockwise rotation?

Back

The transformation is (x, y) -> (-y, x).