Question

The given figure is reflected about the horizontal dashed line and then rotated clockwise by \(90^\circ\) about an axis perpendicular to the plane of the figure.
\begin{center} \includegraphics[width=0.5\textwidth]{01.jpeg} \end{center} Which one of the following options correctly shows the resultant figure?

• A. A
• B. B
• C. C
• D. D

Hint:

For such figure manipulation problems, always apply transformations step by step: first reflection, then rotation. Track the relative positions (quadrants) of each figure carefully to avoid mistakes.

Answer 1

The Correct Option is B

Step 1: Reflection about the horizontal dashed line.
- The shapes above the dashed line (lightning and L-shape) move below. - The shapes below the dashed line (arrow and crescent moon) move above. - Each shape is flipped vertically.
Step 2: Effect of vertical reflection.
- Lightning bolt that was at the top-left comes to bottom-left but flipped upside down. - L-shaped figure at top-right comes to bottom-right but inverted. - Arrow that was bottom-left comes to top-left but flipped. - Crescent that was bottom-right comes to top-right but flipped.
Step 3: \(90^\circ\) clockwise rotation.
Now rotate the entire reflected figure: - Top-left position moves to top-right. - Top-right position moves to bottom-right. - Bottom-right position moves to bottom-left. - Bottom-left position moves to top-left.
Tracking each shape carefully: - Arrow ends up at top-right. - Crescent ends up at bottom-right. - L-shape ends up at bottom-left. - Lightning ends up at top-left.
Step 4: Compare with options.
Option (B) matches exactly with this arrangement: - Lightning at top-left, - Arrow at top-right, - L-shape at bottom-left, - Crescent at bottom-right.
Final Answer:
\[ \boxed{(B)} \]