If the mirror image of a number shows '69', what was the original number?
Answer: B
When reflected vertically, 6 becomes 9 and 9 becomes 6. The order also reverses in water image, so '69' in mirror comes from '96' originally.
Q.82Medium
A figure shows vertices A(1,1), B(4,1), C(4,4), D(1,4). After water image transformation about x-axis, vertex C will be at:
Answer: A
Water image about x-axis changes (x,y) to (x,-y). Therefore C(4,4) becomes (4,-4).
Q.83Medium
When the word 'COMPETITIVE' is reflected in a vertical mirror, how many letters remain unchanged in their appearance?
Answer: B
Letters that remain unchanged in vertical mirror reflection are: A, H, I, M, O, T, U, V, W, X, Y. In 'COMPETITIVE', only T, I, T, I appear = 4 letters remain visually same.
Q.84Medium
A digital clock shows 15:47. What will be its mirror image (vertical reflection)?
Answer: A
In vertical mirror reflection, digits are reversed and each digit is horizontally flipped. 15:47 becomes 74:51 when reflected vertically.
Q.85Medium
A square with vertices at (0,0), (4,0), (4,4), (0,4) is reflected across a vertical line x=2. What are the new coordinates of the vertex originally at (4,4)?
Answer: A
When reflecting across x=2, the point (4,4) moves to (0,4). The distance from (4,4) to the line x=2 is 2 units, so the reflected point is 2 units on the opposite side at (0,4).
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Q.86Medium
A parallelogram ABCD has angle A = 60°. After water image transformation, what will be angle A?
Answer: A
Water image (horizontal reflection) preserves all angles. The angle A remains 60° in the reflected figure.
Q.87Medium
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.88Medium
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.89Medium
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.90Medium
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.91Medium
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.92Medium
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.93Medium
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.
