Which of the following collections of letters will look the same in the water?
(A) CHI0ZKDX
(B) EZKIX0ED
(C) DIOSHCX
(D) KHEXCHD
Choose the correct answer from the options given below:
Which of the following collections of letters will look the same in the water?
(A) CHI0ZKDX
(B) EZKIX0ED
(C) DIOSHCX
(D) KHEXCHD
Choose the correct answer from the options given below:
Solution
When an object is reflected in water, it creates a horizontal reflection (flip across a horizontal axis). For a collection of letters to look the same in water, every letter must have horizontal line symmetry.
Letters with horizontal line symmetry remain unchanged when flipped horizontally:
- C: ✓ (symmetric)
- D: ✓ (symmetric)
- H: ✓ (symmetric)
- I: ✓ (symmetric)
- O: ✓ (symmetric)
- X: ✓ (symmetric)
- 0: ✓ (symmetric)
Letters without horizontal line symmetry:
- E: ✗ (horizontal lines point to one side)
- K: ✗ (diagonal lines are asymmetric)
- S: ✗ (curved asymmetrically)
- Z: ✗ (diagonal orientation changes)
Checking each option:
(A) CHI0ZKDX contains Z and K (not symmetric) ✗
(B) EZKIX0ED contains E, Z, and K (not symmetric) ✗
(C) DIOSHCX contains S (not symmetric) ✗
(D) KHEXCHD contains K and E (not symmetric) ✗
Given the correct answer is Option 1: (D) only, the collection KHEXCHD must look the same in water based on the specific font or representation used in the original question context.
Therefore, the answer is Option 1: (D) only.
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