How a plane surface projects: In any principal view, does a plane surface always project either as an area (surface) or, if perpendicular, on edge as a straight line?

Difficulty: Easy

Correct Answer: Correct: a plane shows as a surface when parallel, or an edge when perpendicular

Explanation:


Introduction / Context:
Planes are ubiquitous—faces of parts, flanges, covers. Interpreting how a plane appears in different views is foundational to multiview drawing comprehension and layout.


Given Data / Assumptions:

  • Principal orthographic views are used.
  • We discuss planar faces (not curved surfaces).
  • Standard visibility rules apply.


Concept / Approach:
A plane parallel to the projection plane appears in true size and shape (a surface). A plane perpendicular to the projection plane appears on edge (a straight line). If the plane is inclined, it appears foreshortened but still as a surface region (not a curve or point). Only a straight line perpendicular to the view can reduce to a point; a 2D plane cannot become a point in a principal view.


Step-by-Step Solution:

Case 1: plane ∥ view → shows area (true shape).Case 2: plane ⟂ view → shows as an edge line.Case 3: plane inclined → shows as a foreshortened area.


Verification / Alternative check:
Auxiliary views created parallel to the plane recover the true shape from a foreshortened appearance. Perpendicular alignment produces an edge view; intermediate tilts produce foreshortening—never a point for a full plane.


Why Other Options Are Wrong:

  • “Reduces to a point” is a property of a line normal to the view, not a plane.
  • “Becomes a curve” confuses planar edges with curved surfaces.
  • First- vs. third-angle does not change geometric truths.
  • Shape (rectangular vs. other) does not alter projection behavior.


Common Pitfalls:
Misinterpreting a very thin foreshortened plane as a line; forgetting that hidden edges may require dashed lines but do not change the type of projection (area vs. edge).


Final Answer:
Correct: a plane shows as a surface when parallel, or an edge when perpendicular

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