Select the correct mirror image of the given figure when the mirror is placed at MN as shown below.
Correct Answer :
Solution :
The correct mirror image is given by the figure in the option below:

Step-by-Step Explanation:
When a mirror is placed vertically at line MN on the right side of a figure, the resulting mirror image undergoes lateral inversion (a horizontal left-to-right flip). This means:
1. Reversal of Character Sequence: The character nearest to the mirror line MN (on the right) will appear leftmost in the mirror image, while the character farthest from the mirror line (on the left) will appear rightmost.
2. Lateral Inversion of Individual Symbols: Each individual character is flipped horizontally from left to right, while maintaining its vertical orientation (top remains top, bottom remains bottom).
Let's analyze the given text L 2 7 A e f step-by-step from right to left (starting nearest to mirror line MN):
1. f (closest to mirror on the right): Moves to the 1st position on the left and is horizontally flipped so its top hook and horizontal crossbar face left.
2. e: Moves to the 2nd position from the left, laterally inverted so its curved loop faces left.
3. A: Moves to the 3rd position from the left. Since the letter A possesses vertical symmetry, its mirror image remains identical to A.
4. 7: Moves to the 4th position from the left, flipped horizontally so its top horizontal stroke extends leftward.
5. 2: Moves to the 5th position from the left, laterally inverted with its upper loop facing left.
6. L (farthest from mirror on the left): Moves to the 6th (rightmost) position, flipped horizontally with its vertical line on the right and horizontal arm extending to the left.
Evaluation of Options:
- Option 1: Incorrectly flips the letter A upside-down into ∀ (vertical inversion).
- Option 2: Incorrectly swaps the positions of 2 and 7.
- Option 3: Contains incorrect character positions and orientation errors.
- Option 4: Correctly shows all characters in reversed sequence and properly laterally inverted.
Hence, the figure in Option 4 represents the correct mirror image.
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