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 rule for a 90° counterclockwise rotation around the origin?

Back

(x,y) → (-y,x)

Front

What happens to the coordinates of a point when it is rotated 180° about the origin?

Back

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

Front

If a point (a,b) is rotated 90° clockwise, what are the new coordinates?

Back

(b,-a)

Front

What is the image of the point (3,4) after a 180° rotation around the origin?

Back

(-3,-4)

Front

How do you determine the coordinates of a point after a 90° counterclockwise rotation?

Back

Switch the x and y coordinates and change the sign of the new x coordinate.

Front

What is the result of rotating the point (7,8) 90° counterclockwise?

Back

(-8,7)

Front

What is the result of rotating the point (-3,-4) 180° around the origin?

Back

(3,4)

Front

What is the transformation rule for a 360° rotation?

Back

The coordinates remain the same: (x,y) → (x,y).

Front

What is the effect of a 90° clockwise rotation on the point (1,2)?

Back

(2,-1)