Question

Determine whether each statement about the rotation (x, y) arrowright (y, −x) is true or false. Select True or False for each statement.

Answer 1

Rotation means rotating a shape through certain angle.

The shape can be one Dimensional , 2 dimensional or 3 Dimensional.

Angle of rotation lies between 0 degrees to 360 degrees.

The point (x,y) lies in two Dimensional coordinate system.

Since point (x,y) is rotated and we are getting new coordinate as (y,-x).

The point (x,y) lies in first quadrant and the point (y,-x) lies in fourth quadrant.

Also,Distance of x-coordinate from X-axis=Distance of y coordinate from Y-axis

,Distance of y-coordinate from Y-axis=Distance of x coordinate from X-axis

So, Either the shape is rotated through anticlockwise motion through an angle of 270 degrees or through an angle of 90 degrees in clockwise motion.