Projection theory: Orthographic projections belong to the broader class of parallel projections because projectors remain parallel and perpendicular to the projection plane.
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ACorrect
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BIncorrect
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COnly true for third-angle layouts
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DValid only with transparent planes
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EDepends on perspective center distance
Answer
Correct Answer: Correct
Explanation
Introduction / Context:Understanding projection families helps explain why orthographic views preserve true sizes and shapes for features aligned to the projection planes. This question distinguishes parallel from perspective projections.
Given Data / Assumptions:
- In parallel projection, projection lines (projectors) are parallel to each other.
- Orthographic projection is a special case where projectors are perpendicular to the projection plane.
- First- and third-angle systems arrange views differently but use the same orthographic principle.
Concept / Approach:Parallel projection means no vanishing points; features remain at true scale along directions parallel to the plane. Orthographic adds the perpendicular condition, ensuring minimal distortion and accurate dimensioning.
Step-by-Step Solution:Classify projections: perspective (converging projectors) vs parallel (nonconverging projectors).Identify orthographic as parallel with a perpendicular relationship to the plane.Conclude that orthographic is indeed a type of parallel projection.
Verification / Alternative check:Compare a cube drawn in orthographic (true faces) versus perspective (faces recede and scale). The lack of vanishing points in orthographic confirms parallel-projection behavior.
Why Other Options Are Wrong:Limiting to third-angle or invoking transparency is irrelevant. Perspective-center distance is a perspective concept, not parallel projection.
Common Pitfalls:Believing that orthographic and perspective are interchangeable; they serve different purposes—measurement vs visualization.
Final Answer:Correct