Which English capital letter looks the same when reflected vertically AND horizontally?
Answer: C
Letter 'H' has both vertical and horizontal symmetry, so it appears identical in both mirror and water image transformations.
Q.182Medium
A circle with center at (3,3) and radius 5 is reflected across the vertical line x=3. What is the center of the reflected circle?
Answer: A
The center (3,3) lies on the mirror line x=3, so it remains at (3,3). The radius and shape of the circle remain unchanged.
Q.183Hard
A rectangle with length 8 cm and width 5 cm is reflected in a diagonal mirror. How many of its dimensions change?
Answer: C
When reflected across a diagonal, both length and width swap positions. The reflected figure will have length 5 cm and width 8 cm.
Q.184Medium
If the mirror image of a three-digit number is 258, which of the following could be the original number?
Answer: A
In mirror reflection, digits are reversed and individually flipped. 258 in mirror would come from 852, where 8→8, 5→5, 2→2 when flipped individually and order reversed.
Q.185Easy
The number '96' when subjected to water image transformation appears as:
Answer: B
In water image (horizontal reflection), 9 becomes 9 and 6 becomes 6, but their positions reverse. So 96 becomes 69.
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Q.186Hard
A regular hexagon is reflected across a line passing through two opposite vertices. How many vertices remain on the mirror line?
Answer: A
In a regular hexagon, a line through two opposite vertices (mirror line) passes through exactly those 2 vertices, which remain unchanged in position.
Q.187Medium
Which of the following statements about mirror and water images is TRUE?
Answer: B
Both mirror reflection and water reflection are isometric transformations that preserve distances, angles, and area, but reverse orientation.
Q.188Easy
A trapezoid with parallel sides of length 6 and 4 units is reflected horizontally. The difference between parallel sides becomes:
Answer: A
Horizontal reflection preserves all lengths and angles. The parallel sides remain 6 and 4 units with difference = 2 units.
Q.189Easy
When the word 'MIRROR' is reflected in a vertical mirror, which of the following represents its correct mirror image?
Answer: B
In a vertical mirror reflection, each letter is reversed horizontally and the sequence is reversed. MIRROR becomes RƆƖɹɹƖƜ when properly reflected.
Q.190Medium
A clock shows 3:15. What time will it appear to show when reflected in a vertical mirror?
Answer: A
In a vertical mirror reflection of a clock, the time appears as if seen from behind. 3:15 reflects to 8:45 (12 - 3 = 9, but accounting for 15 minutes gives 8:45).
Q.191Medium
In a water image, if the original position of an object is at coordinates (4, 6) with respect to a horizontal line of reflection at y = 5, what will be its new position?
Answer: A
In water image reflection about y = 5, the x-coordinate remains same. The distance from (6) to line (5) is 1 unit, so reflection is 1 unit below: y = 5 - 1 = 4.
Q.192Medium
The numeral '2024' undergoes a water image transformation (horizontal reflection). What is the resulting image?
Answer: C
In water image (horizontal reflection), digits are inverted and reversed. 2→ᄅ, 0→0, 2→ᄅ, 4→ᄅ, creating ᄅ0ᄅᄅ.
Q.193Medium
An isosceles triangle ABC with AB = AC is reflected in a vertical mirror. Which property of the triangle remains unchanged?
Answer: B
Mirror reflection preserves distances and angles. Side lengths AB and AC remain equal, and all sides maintain their original lengths in the mirror image.
Q.194Hard
How many capital English letters from A to Z appear identical in their mirror image when reflected in a vertical mirror?
Answer: B
Letters with vertical line symmetry (A, H, I, M, O, T, U, V, W, X, Y) appear identical in vertical mirror reflection. That's 11 letters total.
Q.195Hard
A rectangular shape positioned at coordinates with corners at (1,1), (5,1), (5,3), (1,3) is subjected to a water image transformation about the line y = 0. What are the new coordinates of the top-left corner originally at (1,3)?
Answer: A
In water image reflection about y = 0 (horizontal line), x-coordinates remain unchanged and y-coordinates are negated. (1, 3) becomes (1, -3).
Q.196Easy
A vertical mirror is placed in front of the word 'COMPETITIVE'. Which of the following represents its mirror image?
Answer: C
In a vertical mirror image, the word is reversed horizontally. Each letter appears in mirror form and the sequence is reversed. 'COMPETITIVE' becomes 'EVITITEPMOC'.
