In 3š· Graphics, which of the following statements about perspective and…

2018

InĀ 3š·Ā Graphics, which of the following statements about perspective and parallel projection is/are true?

P : In a perspective projection, the farthest an object is from the center of projection, the smaller it appears

Q : Parallel projection is equivalent to a perspective projection where the viewer is standing infinitely far away

R : Perspective projections do not preserve straight lines.

Answer: A. P and Q only — Correct answer: Statements P and Q are true; statement R is false. P is true: In perspective projection, objects farther from the center of projection appear…

  1. A.

    P and Q only

  2. B.

    P and R only

  3. C.

    Q and R only

  4. D.

    P, Q and R

Attempted by 75 students.

Show answer & explanation

Correct answer: A

Correct answer: Statements P and Q are true; statement R is false.

  • P is true: In perspective projection, objects farther from the center of projection appear smaller due to perspective foreshortening; image size decreases with distance from the viewpoint.

  • Q is true: Parallel projection is the limiting case of perspective projection when the viewer is infinitely far away; the projection rays become parallel and do not converge to a finite center.

  • R is false: Perspective projections preserve straight lines — a straight line in space projects to a straight line (or a degenerate point) in the image, so perspective does not break straightness.

Therefore the correct selection is the combination that includes P and Q only.

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