GATE CS 2023 Set 1 — Question 10
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67EasyTransformation of Shapes (Translation, Rotation, Scaling, Mirroring)Spatial AptitudeGeneral Aptitude
General Aptitude → Spatial Aptitude → Transformation of Shapes (Translation, Rotation, Scaling, Mirroring)
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Question
Which one of the options best describes the transformation of the 2-dimensional figure P to Q, and then to R, as shown?
Correct answer
(A) Operation 1: A clockwise rotation by 90^ about an axis perpendicular to the plane of the figure Operation 2: A reflection along a horizontal line
Solution
Track the star's single long spike.
- In P the long spike points to the upper right.
- In Q it points to the lower right. Turning upper-right into lower-right is a clockwise rotation about an axis perpendicular to the page. (A counter-clockwise rotation would send it to the upper left, and a rotation to the lower left.)
- In R it points to the upper right again. Going from lower-right to upper-right flips the figure top-to-bottom, i.e. a reflection along a horizontal line. (A reflection along a vertical line would send it to the lower left.)
- (B) wrong direction of rotation; (C) wrong reflection axis; (D) wrong rotation and wrong reflection.
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