Choose the letters whose water images are identical to the letter itself.
(A) D
(B) N
(C) Z
(D) C
Choose the correct answer from the options given below:
Choose the letters whose water images are identical to the letter itself.
(A) D
(B) N
(C) Z
(D) C
Choose the correct answer from the options given below:
Solution
A water image is the reflection of an object across a horizontal axis, as if viewing it reflected in still water.
For a letter's water image to be identical to itself, the letter must have horizontal line symmetry (symmetric about a horizontal axis passing through its center).
Examining letter D:
D has a vertical line on the left and a curved portion on the right. When reflected across a horizontal axis through its center, the top curve becomes the bottom curve and vice versa, but the overall shape remains identical to D.
D has horizontal line symmetry. ✓
Examining letter N:
N consists of two vertical lines connected by a diagonal line from bottom-left to top-right. When reflected across a horizontal axis, the diagonal would run from top-left to bottom-right, creating a reversed N shape.
N does not have horizontal line symmetry. ✗
Examining letter Z:
Z has a horizontal line at the top, a diagonal line, and a horizontal line at the bottom. When reflected across a horizontal axis, the top and bottom switch positions, and the diagonal reverses direction, resulting in a different orientation.
Z does not have horizontal line symmetry. ✗
Examining letter C:
C is an arc opening to the right. When reflected across a horizontal axis through its center, the top arc becomes the bottom arc and vice versa, but the overall shape remains identical to C.
C has horizontal line symmetry. ✓
Only letters D and C have water images identical to themselves.
Therefore, the correct answer is Option 3: (A) and (D) only.
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