Select the correct mirror image of the given figure when the mirror is placed at MN as shown below.
Correct Answer :
Solution :
Step-by-Step Explanation:
1. Identify the Mirror Position:
The given figure contains the alphanumeric string "GwB74A" with a vertical mirror MN placed on its right side:
2. Understand the Rules of Reflection for a Vertical Mirror:
When a mirror is placed vertically to the right of an object:
- The top and bottom parts of the characters do not change (no vertical inversion).
- The left and right sides of each character are swapped (horizontal/lateral inversion).
- The position of the characters is reversed in sequence: the rightmost character in the original text (which is closest to the mirror) becomes the leftmost character in the mirror image, and the leftmost character (which is furthest from the mirror) becomes the rightmost character in the mirror image.
3. Trace the Characters from Right to Left:
We reflect each character starting from the one closest to the mirror MN (from right to left):
- 'A': It is the rightmost character. Its mirror image will be the leftmost character. Since 'A' is laterally symmetrical, its reflection remains 'A'.
- '4': In the original, the vertical line is on the right. In the mirror reflection, the vertical line shifts to the left, and the triangular structure points to the right.
- '7': The top horizontal bar extends to the right in the original. In the mirror reflection, it extends to the left.
- 'B': The two loops are on the right in the original. In the mirror reflection, the vertical line is on the right, and the loops are on the left.
- 'w': Since lowercase 'w' is laterally symmetrical, its reflection remains 'w'.
- 'G': It is the leftmost character, so its reflection will be the rightmost character. The curve and the inner loop of 'G' are flipped horizontally.
Conclusion:
Combining the reflected characters in order gives the image represented by the correct option:
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