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 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 does a 180° rotation about the origin do to the coordinates of a point (x, y)?

Back

A 180° rotation about the origin transforms the point (x, y) to (-x, -y).

Front

What is the angle of rotation for a full rotation?

Back

The angle of rotation for a full rotation is 360°.

Front

What direction is counterclockwise rotation?

Back

Counterclockwise rotation is the direction opposite to the movement of the hands of a clock.

Front

If a point A(2, 3) is rotated 90° counterclockwise about the origin, what are the new coordinates?

Back

The new coordinates are (-3, 2).

Front

What happens to the coordinates of a point when it is rotated 270° counterclockwise about the origin?

Back

A point (x, y) becomes (y, -x) after a 270° counterclockwise rotation.

Front

How do you determine the angle of rotation for a given transformation?

Back

The angle of rotation can be determined by measuring the angle formed between the original position and the new position of the figure.

Front

What is the result of rotating a figure 180° clockwise?

Back

Rotating a figure 180° clockwise results in the same transformation as rotating it 180° counterclockwise.

Front

If triangle ABC is rotated 90° clockwise, what is the new position of point A if A is at (1, 2)?

Back

The new position of point A will be at (2, -1).