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 specified direction.

Front

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

Back

To rotate 90 degrees clockwise about the origin means to turn a point or figure 90 degrees in the direction of the clock hands, around the origin (0,0) in the coordinate plane.

Front

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

Back

To rotate 90 degrees counterclockwise about the origin means to turn a point or figure 90 degrees in the opposite direction of the clock hands, around the origin (0,0) in the coordinate plane.

Front

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

Back

The result of rotating a point (x, y) 180 degrees about the origin is (-x, -y).

Front

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

Back

The angle of rotation is determined by measuring the degree of turn from the original position of the figure to its new position.

Front

What is the center of rotation?

Back

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

Front

If a point (3, 4) is rotated 90 degrees clockwise about the origin, what are the new coordinates?

Back

The new coordinates after rotating (3, 4) 90 degrees clockwise about the origin are (4, -3).

Front

If a point (2, -5) is rotated 180 degrees about the origin, what are the new coordinates?

Back

The new coordinates after rotating (2, -5) 180 degrees about the origin are (-2, 5).

Front

What happens to the orientation of a figure when it is rotated 90 degrees clockwise?

Back

The orientation of the figure changes, as the figure will appear to be turned to the right.

Front

What happens to the orientation of a figure when it is rotated 90 degrees counterclockwise?

Back

The orientation of the figure changes, as the figure will appear to be turned to the left.