Rotations about a Point

Rotations about a Point

1. What is true about the distance from the preimage to the center of rotation AND the distance from the image to the center of rotation? 2. For a 90 degree rotation, how would the slope of Segment AB compare to the slope of Segment AB'? (What is true about the slopes of perpendicular lines?) 3. For a 180 degree rotation, how would the slope of Segment AB compare to the slope of Segment AB'?