Edge orientation rule: If an edge (a straight line) is perpendicular to a plane of projection, how does it appear in that view?

Difficulty: Easy

Correct Answer: Correct: it appears as a point (end view of the line)

Explanation:


Introduction / Context:
Orthographic projection rules describe how lines and planes transform between 3D objects and 2D views. Recognizing when a line collapses to a point is key to interpreting drawings and constructing auxiliary views.


Given Data / Assumptions:

  • An “edge” means a straight line segment on the object.
  • The line is perpendicular (normal) to a particular projection plane (front, top, or side).
  • Standard orthographic (parallel) projection is used.


Concept / Approach:
A line projects to its “end view” when viewed along its direction. If a line is perpendicular to a plane of projection, the projectors are parallel to the line, and the entire length collapses to a single point in that view. Conversely, a line parallel to the projection plane shows true length there; an inclined line appears foreshortened.


Step-by-Step Solution:

Establish that the line is perpendicular to the chosen view plane.Under parallel projection, the direction of sight is parallel to the line.Therefore, all points of the line have identical projection coordinates in that axis → a point.


Verification / Alternative check:
Draw a stick normal to a wall. Looking straight at the wall, the stick’s end appears as a dot, matching the geometric rule. Rotate the stick parallel to the wall; it appears at true length.


Why Other Options Are Wrong:

  • True-length line occurs only when the line is parallel to the plane.
  • Ellipses are projections of circles at angles, not straight lines.
  • Foreshortened line indicates inclination, not perpendicularity.
  • “Invisible” is unrelated; visibility depends on occlusion, not orientation alone.


Common Pitfalls:
Confusing perpendicular vs. inclined; assuming dashed (hidden) lines based on orientation instead of actual obstruction; mixing rules for lines with those for planes.


Final Answer:
Correct: it appears as a point (end view of the line)

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