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EEJ MAIN Aptitude QUESTION #10984
Question 1
A square is transformed through the following steps: rotated 45° clockwise, then reflected about its horizontal axis, then rotated 45° anti-clockwise. The resulting figure, compared to the original, is:
  • Same as the original
  • Reflected horizontally
  • Reflected vertically✔️
  • Rotated 90°
Correct Answer Explanation

Tracking the operations on the square (marked with a dot at top-right corner for reference):

  1. Rotate 45° clockwise: dot moves to right-bottom area.
  2. Reflect about horizontal axis: the reflection flips up-down. Dot moves to right-top area.
  3. Rotate 45° anti-clockwise: dot returns near top but shifted.

Combined: A 45° CW rotation + horizontal reflection + 45° CCW rotation = net effect is a vertical reflection (reflection about the vertical axis).

This is because: rotation and its inverse cancel, leaving just the reflection — but a horizontal axis reflection in a rotated frame equals a vertical reflection in the original frame.