Exercise 4.31 shows how to test whether a point is on the left side of a directed line, on the right, or on the same line. Write the following functions: # Return true if point (x2, y2) is on the left side of the# directed line from (x0, y0) to (x1, y1)def leftOfTheLine(x0, y0, x1, y1, x2, y2):# Return true if point (x2, y2) is on the same# line from (x0, y0) to (x1, y1)def onTheSameLine(x0, y0, x1, y1, x2, y2):# Return true if point (x2, y2) is on the# line segment from (x0, y0) to (x1, y1)def onTheLineSegment(x0, y0, x1, y1, x2, y2): Write a program that prompts the user to enter the three points for p0, p1, and p2 and displays whether p2 is on the left of the line from p0 to p1, on the right, on the same line, or on the line segment. The sample runs of this program are the same as in Exercise 4.31.
Exercise 4.31 shows how to test whether a point is on the left side of a directed line, on the right, or on the same line. Write the following functions:
# Return true if point (x2, y2) is on the left side of the
# directed line from (x0, y0) to (x1, y1)
def leftOfTheLine(x0, y0, x1, y1, x2, y2):
# Return true if point (x2, y2) is on the same
# line from (x0, y0) to (x1, y1)
def onTheSameLine(x0, y0, x1, y1, x2, y2):
# Return true if point (x2, y2) is on the
# line segment from (x0, y0) to (x1, y1)
def onTheLineSegment(x0, y0, x1, y1, x2, y2):
Write a program that prompts the user to enter the three points for p0, p1, and p2 and displays whether p2 is on the left of the line from p0 to p1, on the right, on the same line, or on the line segment. The sample runs of this program are the same as in Exercise 4.31.
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