Question:
Which one of the options best describes the transformation of the 2-dimensional figure P to Q, and then to R, as shown? 
Which one of the options best describes the transformation of the 2-dimensional figure P to Q, and then to R, as shown?
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When analyzing geometric transformations, carefully observe the relative orientation of the figure after each operation. A rotation changes the angle, while a reflection flips the figure across a line.
Updated On: Aug 26, 2025
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
Operation 1: A counter clockwise rotation by 90° about an axis perpendicular to the plane of the figure
Operation 2: A reflection along a horizontal line
Operation 1: A clockwise rotation by 90° about an axis perpendicular to the plane of the figure
Operation 2: A reflection along a vertical line
Operation 1: A counter clockwise rotation by 180° about an axis perpendicular to the plane of the figure
Operation 2: A reflection along a vertical line
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The Correct Option is A
Solution and Explanation
Looking at the transformations from figure P to Q and from Q to R:
- The transformation from P to Q involves rotating the figure by 90° in a clockwise direction. This indicates a clockwise rotation of the figure by 90° about an axis perpendicular to the plane of the figure. Therefore, Operation 1 is a clockwise rotation by 90°.
- The transformation from Q to R involves a reflection of the figure across a horizontal line. This matches with the second operation, which is a reflection along a horizontal line.
Thus, the correct choice is option (A).
- The transformation from P to Q involves rotating the figure by 90° in a clockwise direction. This indicates a clockwise rotation of the figure by 90° about an axis perpendicular to the plane of the figure. Therefore, Operation 1 is a clockwise rotation by 90°.
- The transformation from Q to R involves a reflection of the figure across a horizontal line. This matches with the second operation, which is a reflection along a horizontal line.
Thus, the correct choice is option (A).
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