(Geometry: Point on line segment) Programming Exercise shows how to test whether a Point i...

(Geometry: Point on line segment) Programming Exercise shows how to test whether a Point is on an unbounded line. Revise Programming Exercise to test whether a Point is on a line segment. Write a program that prompts the user to enter the three Points for p0, p1, and p2 and displays whether p2 is on the line segment from p0 to p1. Here are some sample runs:

Programming Exercise (Geometry: Point position) Given a directed line from Point p 0(x0 , y0) to p 1(x1 , y1), you can use the following condition to decide whether a Point p2(x2 , y2) is on the left of the line, on the right, or on the same line (see Figure):

Figure (a) p 2 is on the left of the line. (b) p 2 is on the right of the line. (c) p2 is on the same line.

Write a program that prompts the user to enter the three Points for p 0, p 1, and p 2 and displays whether p 2 is on the left of the line from p0 to p1, to the right, or on the same line. Here are some sample runs: