Which of the following letter combinations will appear completely identical and unchanged when viewed in a plane mirror?
- AOSMIHOM
- BVHRTRVH
- CHIMOSTA
- DAOVIVOA
Solution & Step-by-step Explanation
For a combination of capital letters to look exactly the same in a mirror image, two criteria must be satisfied simultaneously:
1. Each individual letter in the sequence must possess lateral vertical symmetry (i.e., its left half is a perfect reflection of its right half). The letters with vertical symmetry are: A, H, I, M, O, T, U, V, W, X, Y.
2. The entire string of letters must read identically from left-to-right as it does from right-to-left (it must be a verbal palindrome).
Let us check the options:
* A, B, C: Contain letters like S and R which are not vertically symmetric and change shape when inverted laterally.
D) AOVIVOA: Every individual letter (A, O, V, I) has vertical symmetry.
* The string is a perfect palindrome. Reading it backwards yields AOVIVOA.
Hence, AOVIVOA remains perfectly unchanged in a mirror.
1. Each individual letter in the sequence must possess lateral vertical symmetry (i.e., its left half is a perfect reflection of its right half). The letters with vertical symmetry are: A, H, I, M, O, T, U, V, W, X, Y.
2. The entire string of letters must read identically from left-to-right as it does from right-to-left (it must be a verbal palindrome).
Let us check the options:
* A, B, C: Contain letters like S and R which are not vertically symmetric and change shape when inverted laterally.
D) AOVIVOA: Every individual letter (A, O, V, I) has vertical symmetry.
* The string is a perfect palindrome. Reading it backwards yields AOVIVOA.
Hence, AOVIVOA remains perfectly unchanged in a mirror.