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Write a python code of a function that takes in four points in a counterclockwise order, a, b, c, d and return true if the quadrilateral is convex and false if it is nonconvex. Only the edges ac or bd are flippable.

Question

Write a python code of a function that takes in four points in a counterclockwise order, a, b, c, d and return true if the quadrilateral is convex and false if it is nonconvex. Only the edges ac or bd are flippable.  

check_circleAnswer
Step 1

Program Instructions:

  • Create a function isConvex() and pass the four points as arguments.
  • Save the parameters a, b, and c in a tuple named points.
  • Use the function cross_product() to calculate the cross products of adjacent edges of the first three points.
  • Return the value true if the cross product is positive, else false.
Step 2

Program:

# to return the cross product of the any three adjacent points

def cross_product(a,b,c):

   return (a[0]-b[0])*(b[1]-c[1])-(a[1]-b[1])*(b[0]-c[0])

# function to check whether the quadilateral is convex or not

def isConvex(a,b,c,d):

  points = [a,b,c,d]

  # to check whether the cross_product is positive

  sign= [cross_product(a,b,c...

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Computer Science

Python

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