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

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?

Back

(x,y) → (y, -x)

Front

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

Back

(x,y) → (-y, x)

Front

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

Back

(x,y) → (-x, -y)

Front

If a point is rotated 270 degrees clockwise, what is the new position of the point (x,y)?

Back

(x,y) → (-y, x)

Front

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

Back

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

Front

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

Back

The coordinates of the point change from (x,y) to (-x,-y), effectively reflecting the point through the origin.

Front

Is the image of a figure after rotation always congruent to the original figure?

Back

Yes, the image of a figure after rotation is always congruent to the original figure.