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?
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ACorrect: a plane shows as a surface when parallel, or an edge when perpendicular
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BIncorrect: a plane can reduce to a point in a principal view
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CIncorrect: a plane becomes a curve when inclined
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DOnly true in first-angle projection
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EOnly true if the plane is rectangular
Answer
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