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Quiz Chapter 7: Plans and Elevations

10 questions · Form 3 Mathematics Bab 7: Plans and Elevations

10 questions · plays in fullscreen

Full Question List & Answer Key

Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.

1. Which view represents the orthogonal projection of an object onto a horizontal plane as seen from above?

  1. Front Elevation
  2. Side Elevation
  3. Plan
  4. Cross-section
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Answer: C

The Plan is the view of an object from directly above, projected onto a horizontal plane.

2. If a cylinder with radius 3 cm and height 8 cm is viewed from the side, what shape is its side elevation?

  1. Circle
  2. Rectangle
  3. Triangle
  4. Oval
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Answer: B

The side view of a cylinder projected onto a vertical plane is a rectangle with width equal to the diameter (6 cm) and height 8 cm.

3. A square pyramid has a base of 6 cm × 6 cm and height of 8 cm. What shape is its Front Elevation when viewed facing one side of the base?

  1. Square
  2. Isosceles Triangle
  3. Right-angled Triangle
  4. Rectangle
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Answer: B

When viewed perpendicular to one of the base edges, the front elevation of a regular square pyramid is an isosceles triangle with base 6 cm and height 8 cm.

4. What is an orthogonal projection?

  1. A 3D perspective drawing of an object
  2. An image formed on a plane by lines perpendicular to that plane
  3. A shadow formed by a light source at an angle of 45°
  4. A scaled-down sketch of a building site
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Answer: B

An orthogonal projection is formed when projection rays from an object intersect the plane of projection at right angles (90°).

5. What is the orthogonal projection of a straight line segment that is parallel to the projection plane?

  1. A point
  2. A line of equal length
  3. A line shorter than the actual segment
  4. A square
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Answer: B

When a line is parallel to the plane of projection, its orthogonal projection is a line segment of equal length.

6. A triangular prism with a right-angled triangular cross-section rests on its rectangular base. What is the shape of its Front Elevation when viewed perpendicular to the triangular face?

  1. Rectangle
  2. Triangle
  3. Trapezium
  4. Square
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Answer: B

Looking directly at the triangular cross-section face gives an orthogonal projection of a triangle.

7. Which projection shows the view of an object onto a vertical plane from the front?

  1. Plan
  2. Side Elevation
  3. Front Elevation
  4. Isometric View
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Answer: C

The Front Elevation is the orthogonal projection onto a vertical plane when looking directly at the front of the object.

8. What angle is used for the construction alignment line in the standard 4-quadrant layout for drawing plans and elevations?

  1. 30°
  2. 45°
  3. 60°
  4. 90°
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Answer: B

A 45° construction line in Quadrant IV is used to project horizontal dimensions between the Plan and Side Elevation.

9. What is the orthogonal projection of a straight line segment that is perpendicular to the projection plane?

  1. A point
  2. A line of equal length
  3. A triangle
  4. A dashed line
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Answer: A

When a line segment is perpendicular to the projection plane, all points on the line project onto a single point.

10. A rectangular block has a step cut out from its top edge. From the front, this step edge cannot be seen directly. How should this edge be represented in the Front Elevation?

  1. Solid line
  2. Dashed line
  3. It should be omitted
  4. Red line
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Answer: B

Features or edges that exist on the object but are hidden from the specific viewing angle must be drawn using dashed lines.

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