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How do you do hit-testing with a Line Segment?

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Final answer:

To perform hit-testing with a Line Segment, one must check if a point is on or near the line using several steps involving mathematical calculations and vector operations.

Step-by-step explanation:

To perform hit-testing with a Line Segment, one typically needs to create a function or algorithm that determines whether a given point lies on or near the line segment defined by two endpoints. This problem can be approached from a computational geometry standpoint and involves a few mathematical calculations.

The basic idea is to check if the distance from the point to the line segment is within a certain tolerance. If the point is within this tolerance, it is considered a 'hit'. The steps to achieve this are as follows:

  1. Calculate the distances from the point to both endpoints of the line segment.
  2. Check if the point lies within the bounds of the line segment's rectangle (created by projecting the endpoints onto the x and y axes).
  3. Find the projection of the point onto the line extending the line segment and check if it lies within the line segment.
  4. Calculate the perpendicular distance from the point to the line segment.
  5. Decide if this distance is less than the chosen tolerance for hit-testing.

Each of these steps involves several more detailed computations, such as vector operations and potentially solving simultaneous equations.

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