Concept: Lateral Inversion in Plane Mirrors.
Rule / Principle:A plane mirror reflects a 2D image across the vertical axis (\(x \to -x\)). This produces two simultaneous transformations when transitioning between a mirror view and a direct view:
- Positional Reversal: The spatial sequence of characters is reversed from left-to-right (the rightmost element in the mirror is the leftmost element on the actual physical shirt).
- Glyph Inversion: Each individual character is reflected horizontally about its own vertical axis.
Step-by-Step Solution:The mirror image viewed from left to right is:
≤ W O I H A ≥- Leftmost symbol in direct view: Originates from the rightmost symbol in the mirror (≥). Horizontally reflecting ≥ flips its rightward-pointing vertex to the left, yielding ≤.
- Letter sequence: The letters in the mirror reading left-to-right are W - O - I - H - A. In direct view, their positional order reverses to A - H - I - O - W. Because each of the English letters A, H, I, O, W possesses vertical line symmetry (\(\text{reflect}(L) = L\)), their individual glyph forms remain unchanged.
- Rightmost symbol in direct view: Originates from the leftmost symbol in the mirror (≤). Horizontally reflecting ≤ flips its leftward-pointing vertex to the right, yielding ≥.
Assembling the elements in direct view from left to right yields:
≤ AHIOW ≥ (Option B).
Why other options are incorrect:- Option D (≥ AHIOW ≤): Classic lateral inversion trap. Flipped the orientation of the symbols in place without swapping their lateral positions (or swapped positions without flipping glyph orientation). If the direct shirt were
≥ AHIOW ≤, its mirror reflection would be ≥ WOIHA ≤, not ≤ WOIHA ≥. - Option A (≥ WOIHA ≤) & Option C (≤ WOIHA ≥): Fail to reverse the lateral sequence of the letters from left to right.
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