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GATE 2023 CS – Question 10

General Aptitude · Spatial Aptitude: Spatial Reasoning and Visualization · 2 marks · Multiple choice

Which one of the options best describes the transformation of the 2-dimensional figure P to Q, and then to R, as shown?

a star-shaped figure P is transformed by Operation 1 into Q, and by Operation 2 into R.
  1. Operation 1: A clockwise rotation by 90º about an axis perpendicular to the plane of the figure. Operation 2: A reflection along a horizontal line
  2. Operation 1: A counter clockwise rotation by 90º about an axis perpendicular to the plane of the figure. Operation 2: A reflection along a horizontal line
  3. Operation 1: A clockwise rotation by 90º about an axis perpendicular to the plane of the figure. Operation 2: A reflection along a vertical line
  4. Operation 1: A counter clockwise rotation by 180º about an axis perpendicular to the plane of the figure. Operation 2: A reflection along a vertical line

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Show answer and explanation

Correct answer: (A) Operation 1: A clockwise rotation by 90º about an axis perpendicular to the plane of the figure. Operation 2: A reflection along a horizontal line

Explanation

P to Q turns the long tip from upper-right to lower-right, which is a 90° clockwise rotation. Q to R flips the figure top-to-bottom, i.e. a reflection along a horizontal line.