ROTATION ABOUT A POINT

Front

What is rotation in geometry?

Back

Rotation in geometry refers to turning a shape around a fixed point, known as the center of rotation, by a certain angle in a specific direction (clockwise or counterclockwise).

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a shape is rotated. It can be any point in the plane.

Front

How do you rotate a point 90º clockwise about a center of rotation?

Back

To rotate a point (x, y) 90º clockwise about a center of rotation (h, k), use the formula: (h + (k - y), k - (x - h)).

Front

How do you rotate a point 90º counterclockwise about a center of rotation?

Back

To rotate a point (x, y) 90º counterclockwise about a center of rotation (h, k), use the formula: (h - (y - k), k + (x - h)).

Front

What is the result of rotating a point 180º about a center of rotation?

Back

To rotate a point (x, y) 180º about a center of rotation (h, k), the new coordinates will be (h - (x - h), k - (y - k)).

Front

What are the coordinates of point Q after a 90º clockwise rotation about (-1, -2)?

Back

The coordinates of point Q after a 90º clockwise rotation about (-1, -2) are Q' (-3, -5).

Front

What are the coordinates of the image of quadrilateral EIQX after a 90º clockwise rotation around (1, -2)?

Back

The coordinates of the image of quadrilateral EIQX after a 90º clockwise rotation around (1, -2) are I' (1, 2); E' (0, 2); Q' (-1, -3); X' (-2, -1).

Front

What are the coordinates of point P after a 90º counterclockwise rotation about (-2, -1)?

Back

The coordinates of point P after a 90º counterclockwise rotation about (-2, -1) are P' (-1, -3).

Front

What are the coordinates of point H after a 180º rotation about (-1, -1)?

Back

The coordinates of point H after a 180º rotation about (-1, -1) are L' (0, -5).

Front

What is the effect of rotating a shape 180º?

Back

Rotating a shape 180º flips it to the opposite side of the center of rotation, effectively reversing its position.