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Non-Verbal Reasoning

Mirror images, series, embedded figures

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Difficulty: All Easy Medium Hard 1–10 of 94
Topics in Non-Verbal Reasoning
All Pattern Completion 100 Mirror & Water Images 100
An isosceles triangle ABC with AB = AC is reflected in a vertical mirror. Which property of the triangle remains unchanged?
A The orientation of vertices
B The length of sides
C The position relative to the mirror
D The direction of rotation
Correct Answer:  B. The length of sides
EXPLANATION

Mirror reflection preserves distances and angles. Side lengths AB and AC remain equal, and all sides maintain their original lengths in the mirror image.

Test
The numeral '2024' undergoes a water image transformation (horizontal reflection). What is the resulting image?
A 4202
B 2024
C ᄅ0ᄅᄅ
D 2020
Correct Answer:  C. ᄅ0ᄅᄅ
EXPLANATION

In water image (horizontal reflection), digits are inverted and reversed. 2→ᄅ, 0→0, 2→ᄅ, 4→ᄅ, creating ᄅ0ᄅᄅ.

Test
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?
A (4, 4)
B (4, 3)
C (4, 5)
D (4, 6)
Correct Answer:  A. (4, 4)
EXPLANATION

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.

Test
A clock shows 3:15. What time will it appear to show when reflected in a vertical mirror?
A 8:45
B 9:15
C 8:45
D 7:15
Correct Answer:  A. 8:45
EXPLANATION

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).

Test
Which of the following statements about mirror and water images is TRUE?
A Both transformations preserve orientation
B Both are isometric transformations
C Both change the size of the figure
D Both are rotational transformations
Correct Answer:  B. Both are isometric transformations
EXPLANATION

Both mirror reflection and water reflection are isometric transformations that preserve distances, angles, and area, but reverse orientation.

Test
If the mirror image of a three-digit number is 258, which of the following could be the original number?
A 852
B 582
C 285
D 258
Correct Answer:  A. 852
EXPLANATION

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.

Test
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?
A (3,3)
B (0,3)
C (6,3)
D (-3,3)
Correct Answer:  A. (3,3)
EXPLANATION

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.

Test
A parallelogram ABCD has angle A = 60°. After water image transformation, what will be angle A?
A 60°
B 120°
C 90°
D 180°
Correct Answer:  A. 60°
EXPLANATION

Water image (horizontal reflection) preserves all angles. The angle A remains 60° in the reflected figure.

Test
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)?
A (0,4)
B (2,4)
C (0,2)
D (-4,4)
Correct Answer:  A. (0,4)
EXPLANATION

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).

Test
A digital clock shows 15:47. What will be its mirror image (vertical reflection)?
A 74:51
B 71:54
C 14:51
D 74:54
Correct Answer:  A. 74:51
EXPLANATION

In vertical mirror reflection, digits are reversed and each digit is horizontally flipped. 15:47 becomes 74:51 when reflected vertically.

Test

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