Question Details

The given figure is reflected about the horizontal dashed line and then rotated clockwise by 90° about an axis perpendicular to the plane of the figure.


Which one of the following options correctly shows the resultant figure?


Options

A

B

C

D

Show Answer

Correct Answer :

Option B

Solution :

Correct Answer: The second option (Option 2, represented by the second image).

To find the correct resultant figure, we can trace the positions and orientations of the four shapes in each quadrant step-by-step through the two transformations.

Step 1: Analyzing the Initial Figure
The original figure has four quadrants, each containing a distinct shape:
Top-Left: A lightning bolt pointing downwards and to the right.
Top-Right: An L-like hook shape pointing downwards.
Bottom-Left: An L-shaped double-headed arrow pointing upwards and to the left.
Bottom-Right: A crescent moon shape open to the right (curve on the left).

Step 2: Reflection about the Horizontal Dashed Line (Top Border)
Reflecting the figure across the horizontal dashed line at the top results in a vertical flip. This vertical reflection swaps the positions of the top and bottom quadrants while vertically inverting each shape:
Bottom-Left Arrow moves to the Top-Left. Its orientation flips from pointing upwards-left to pointing downwards-left.
Bottom-Right Crescent moves to the Top-Right. Since it is vertically symmetrical, it remains open to the right.
Top-Left Lightning moves to the Bottom-Left and flips vertically to point upwards-right.
Top-Right Hook moves to the Bottom-Right and flips vertically to point upwards.

Step 3: 90° Clockwise Rotation
Next, we rotate the entire figure by 90° clockwise about its center. This rotation shifts the quadrant positions as follows:
Top-Left → Top-Right: The Arrow (pointing down-left) moves to the top-right quadrant. A 90° clockwise rotation turns a down-pointing arrow to the left, and a left-pointing arrow upwards. Thus, the arrow points upwards and left.
Top-Right → Bottom-Right: The Crescent (open to the right, curve on left) moves to the bottom-right quadrant. A 90° clockwise rotation turns the curve from the left side to the top side, making the crescent open downwards.
Bottom-Right → Bottom-Left: The Hook moves to the bottom-left quadrant.
Bottom-Left → Top-Left: The Lightning bolt (pointing up-right) moves to the top-left quadrant. A 90° clockwise rotation turns the up-right direction to point downwards-right.

Conclusion:
Matching our final derived figure to the options:
• Top-Left: Lightning pointing down-right
• Top-Right: Arrow pointing up-left
• Bottom-Left: Hook
• Bottom-Right: Crescent open downwards
This perfectly matches the configuration shown in the second option.

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