GATE ME 2025 Set 1 — Question 8
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General Aptitude → Spatial Aptitude → Transformation of Shapes (Translation, Rotation, Scaling, Mirroring)
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Question
The given figure is reflected about the horizontal dashed line and then rotated clockwise by about an axis perpendicular to the plane of the figure.Which one of the following options correctly shows the resultant figure?Note: The figures shown are representative.
Correct answer
(B) [figure]
Solution
To find the resultant figure, we apply the transformations step-by-step to the elements within the box:
1.Reflection about the horizontal dashed line: This is a vertical flip.
- The symbols in the top row (zigzag, hook) move to the bottom row and are inverted vertically.
- The symbols in the bottom row (L-arrow, crescent) move to the top row and are inverted vertically.
- Positions after reflection:
- Top-Left: Inverted L-arrow (pointing down and right)
- Top-Right: Inverted crescent (still opening left)
- Bottom-Left: Inverted zigzag
- Bottom-Right: Inverted hook
- Top-Left moves to Top-Right.
- Top-Right moves to Bottom-Right.
- Bottom-Right moves to Bottom-Left.
- Bottom-Left moves to Top-Left.
- Final positions and orientations:
- Top-Left: The inverted zigzag from Bottom-Left rotates CW. This matches the zigzag in Option (B).
- Top-Right: The inverted L-arrow from Top-Left rotates CW. It now points left and down. This matches Option (B).
- Bottom-Right: The inverted crescent from Top-Right rotates CW. This matches the orientation in Option (B).
- Bottom-Left: The inverted hook from Bottom-Right rotates CW. This matches Option (B).
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