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 are the coordinates of point B' if point B(6,5) is rotated 180° about the origin?

Back

(-6,-5)

Front

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

Back

(x,y) → (-x,-y)

Front

What is the rule for rotating a point (x,y) 270° counterclockwise about the origin?

Back

(x,y) → (y,-x)

Front

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

Back

(x,y) → (-y,x)

Front

If a triangle is rotated 360°, what happens to its position?

Back

The triangle remains in the same position as it started.

Front

What is the angle of rotation for a 90° clockwise rotation?

Back

The angle of rotation is 90° in the clockwise direction.

Front

How do you determine the new coordinates of a point after a rotation?

Back

Apply the appropriate rotation rule based on the angle and direction of rotation.

Front

What is the effect of a 180° rotation on a point in the first quadrant?

Back

The point will move to the third quadrant.

Front

What is the center of rotation in a geometric transformation?

Back

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