Oblique drawing principle — Are circles and angles that lie on planes perpendicular to the projection plane shown in true size and true shape in oblique projection?
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AIncorrect
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BCorrect
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CValid only for cavalier
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DValid only for cabinet
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ETrue for circles but not for angles
Answer
Correct Answer: Incorrect
Explanation
Introduction / Context:Oblique projection represents a 3D object with one principal face parallel to the projection plane while the depth is drawn along a receding axis. Understanding when shapes and angles are preserved as true is essential for technical sketching and CAD interpretation.
Given Data / Assumptions:
- Statement under test: features on planes perpendicular to the projection plane are true size/shape in oblique.
- In oblique drawings, the object face parallel to the projection plane is depicted without distortion.
- Receding planes are not parallel to the projection plane.
Concept / Approach:True size/shape occurs when a feature lies in a plane parallel to the projection plane. Circles on that parallel face remain circles; angles on that face remain true. Features on planes perpendicular to the projection plane are foreshortened or distorted (e.g., circles appear as ellipses).
Step-by-Step Solution:1) Identify the plane orientation: "perpendicular to the projection plane."2) Recall the rule: only planes parallel to the projection plane show true size/shape.3) Therefore, perpendicular planes will not show features in true size/shape.4) The statement is incorrect.
Verification / Alternative check:Check a cylinder: its circular base parallel to the projection plane stays a circle; a base perpendicular to it becomes an ellipse. The angle preservation follows the same parallel-plane rule.
Why Other Options Are Wrong:
- Correct: False because perpendicular planes do not preserve true size/shape.
- Valid only for cavalier: No; the rule is geometric, not dependent on depth scale convention.
- Valid only for cabinet: Same reasoning; convention does not change plane parallelism.
- True for circles but not for angles: Both are not true on perpendicular planes.
Common Pitfalls:Assuming depth-scaling choices (cavalier vs cabinet) affect truth of shape; confusing plane orientation with axis direction; overlooking that parallelism to the projection plane is the key determinant.
Final Answer:Incorrect