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 is the center of rotation?

Back

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

Front

What is the angle of rotation?

Back

The angle of rotation is the measure of the degree through which a figure is rotated around the center of rotation.

Front

What is the rule for rotating a point (x,y) 90 degrees clockwise around the origin?

Back

The rule is (x,y) → (y, -x).

Front

What is the rule for rotating a point (x,y) 90 degrees counterclockwise around the origin?

Back

The rule is (x,y) → (-y, x).

Front

What is the rule for rotating a point (x,y) 180 degrees around the origin?

Back

The rule is (x,y) → (-x, -y).

Front

If a point (a,b) is rotated 90 degrees clockwise, what will be its new coordinates?

Back

The new coordinates will be (b, -a).

Front

If a point (a,b) is rotated 90 degrees counterclockwise, what will be its new coordinates?

Back

The new coordinates will be (-b, a).

Front

What happens to the coordinates of a point when it is rotated 180 degrees around the origin?

Back

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

Front

How do you determine the image of a point after a rotation?

Back

To determine the image of a point after a rotation, apply the appropriate rotation rule based on the angle and direction of rotation.