Exercise 2.2. Consider the problem of representing line segments in a plane. Each segment is represented as a pair of points: a starting point and an ending point. Define a constructor make-segment and selectors start-segment and end-segment that define the representation of segments in terms of points. Furthermore, a point can be represented as a pair of numbers: the x coordinate and the y coordinate. Accordingly, specify a constructor make-point and selectors x-point and y-point that define this representation. Finally, using your selectors and constructors, define a procedure midpoint-segment that takes a line segment as argument and returns its midpoint (the point whose coordinates are the average of the coordinates of the endpoints). To try your procedures, you'll need a way to print points: (define (print-point p) (newline) (display "(") (display (x-point p)) (display ",") (display (y-point p)) (display ")")) ———————————————————————————————————————————————————————————————————————— ; segments (define (make-segment start end) (cons start end)) (define (start-segment segment) (car segment)) (define (end-segment segment) (cdr segment)) ; points (define (make-point x y) (cons x y)) (define (x-point) (car point)) (define (y-point) (cdr point)) ; midpoint (define (midpoint-segment segment) (make-point (average (x-point (start-segment segment)) (x-point (end-segment segment))) (average (y-point (start-segment segment)) (y-point (end-segment segment)))))