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 specified 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

How do you determine the angle of rotation?

Back

The angle of rotation is measured in degrees and indicates how far the figure is turned around the center of rotation.

Front

What is a 90 degrees clockwise rotation?

Back

A 90 degrees clockwise rotation turns a figure 90 degrees to the right around the center of rotation.

Front

What is a 180 degrees rotation?

Back

A 180 degrees rotation turns a figure halfway around the center of rotation, resulting in the figure being upside down.

Front

What happens to the coordinates of a point (x, y) after a 90 degrees clockwise rotation?

Back

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

Front

What happens to the coordinates of a point (x, y) after a 180 degrees rotation?

Back

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

Front

What happens to the coordinates of a point (x, y) after a 90 degrees counterclockwise rotation?

Back

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

Front

How do you rotate a point around the origin?

Back

To rotate a point around the origin, apply the appropriate transformation rules based on the angle of rotation.

Front

What is the result of rotating the point (-3, -4) 180 degrees around the origin?

Back

The result is (3, 4).