Rotation

Front

What is rotation in geometry?

Back

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) 180 degrees around the origin?

Back

The rule is (x,y) → (-x,-y).

Front

What is the rule for rotating a point (x,y) 270 degrees counterclockwise 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 happens to the coordinates of a point when it is rotated 360 degrees?

Back

The coordinates remain the same; the point returns to its original position.

Front

If a point (3,4) is rotated 180 degrees around the origin, what are the new coordinates?

Back

The new coordinates are (-3,-4).

Front

What is the effect of rotating a figure 90 degrees clockwise?

Back

The coordinates change according to the rule (x,y) → (y,-x).

Front

How do you determine the direction of rotation?

Back

Counterclockwise rotation is considered positive, while clockwise rotation is considered negative.