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Point in 2D Space and Distance Calculation

Certification: Advanced Level Accuracy: 100% Submissions: 2 Points: 10

Implement a Python class called Point2D that represents a point in a 2D coordinate system. The class should include methods to calculate the distance to another point, move the point, and represent the point as a string. Additionally, implement a method to find the midpoint between two points.

Example 1
    
  
  • Input: p1 = Point2D(3, 4)
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  • Operations: p1.distance_to(Point2D(0, 0))
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  • Output: 5.0
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  • Explanation:
    
      
      
    • Step 1: Create a point at (3, 4).
      • 
      
    • Step 2: Calculate distance to origin (0, 0).
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    • Step 3: Return the calculated distance.
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Example 2
    
  
  • Input: p1 = Point2D(1, 2)
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  • Operations: p1.move(2, 2)
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  • Output: Point(3.0, 4.0)
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  • Explanation:
    
      
      
    • Step 1: Create a point at (1, 2).
      • 
      
    • Step 2: Move the point by (2, 2).
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    • Step 3: Return the new point coordinates.
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Constraints
    
  
  • Coordinates can be integers or floating-point numbers.
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  • Distance calculations should be accurate to at least 2 decimal places.
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  • Time Complexity: O(1) for all operations.
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  • Space Complexity: O(1) for all operations.
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  • The class should handle edge cases like calculating distance to itself.
    •
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Hint
Solution

Solution Hints

    
        
  • Use the Euclidean distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]
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  • Implement dunder methods like __str__ for string representation
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  • Create a class method for midpoint calculation: ((x₁ + x₂)/2, (y₁ + y₂)/2)
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  • Consider implementing other methods like translation and rotation
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  • Use the math module for square root and other mathematical operations
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  • Consider implementing operator overloading for point addition and subtraction
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Steps to solve by this approach:

 Step 1: Create a Point2D class with x and y coordinate attributes.

 Step 2: Implement an initialization method that sets the coordinates.

 Step 3: Add a distance_from_origin method that calculates the Euclidean distance.

 Step 4: Use the Pythagorean theorem underroot of((x² + y²)) to compute the distance.

 Step 5: Return the calculated distance value.

Submitted Code :