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Match the following surfaces to their correct definition as used in geometric modelingRuled SurfaceAnswer 1PlaneAnswer 2Answer 3

Question

Match the following surfaces to their correct definition as used in geometric modeling

  • Ruled Surface
    Answer 1
  • Plane
    Answer 2
  • Answer 3
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Solution

To match the surfaces with their definitions as used in geometric modeling, we need to understand each term briefly:

  1. Ruled Surface: A ruled surface is a geometric surface that can be generated by moving a straight line (called a ruling) along a predefined curve or set of curves. Examples include surfaces like the hyperboloid and cone.

  2. Plane: A plane is a flat, two-dimensional surface that extends infinitely in all directions. It can be defined by three points that do not lie on the same line.

Given the above definitions, here’s the likely matching:

  • Ruled Surface - Answer 1 (This describes the nature of a ruled surface being generated by lines.)
  • Plane - Answer 2 (This corresponds to the definition of a plane.)

There seems to be an unspecified "Answer 3." If there's a specific definition you would like to match with Answer 3, please provide that for a more precise matching. Overall, this matching brings two fundamental surfaces in geometric modeling into perspective with their definitions.

This problem has been solved

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