In a combined mirror and water image transformation, if a point is first reflected vertically then horizontally, it undergoes a rotation of:
Answer: B
Vertical mirror reflection followed by horizontal water image reflection results in 180° rotation about the point of intersection of the two mirrors.
Q.162Medium
The word 'INDIA' when subjected to water image transformation becomes:
Answer: A
Water image (horizontal reflection) reverses the sequence. 'INDIA' becomes 'AIDNI' with letters in reverse order.
Q.163Medium
A triangle ABC with angle A = 90°, angle B = 60° is reflected in a vertical mirror. The angles in the mirror image will be:
Answer: D
Mirror reflection preserves angles. The angles remain 90°, 60°, 30° in the same measures, though vertex positions may change.
Q.164Medium
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.165Easy
A regular pentagon is reflected in a horizontal mirror. How many sides will the water image have?
Answer: C
Mirror reflection preserves the number of sides and shape properties. A pentagon remains a pentagon with 5 sides.
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Q.166Easy
In a mirror image problem, if the original figure has area 50 cm², the mirror image will have area:
Answer: B
Mirror and water reflections preserve area. The image area equals the original area.
Q.167Medium
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.168Hard
Which capital letter from the English alphabet requires the LEAST number of strokes to draw its mirror image identically?
Answer: C
Letter 'I' is a single vertical line and has complete vertical symmetry, requiring no additional strokes for mirror image.
Q.169Hard
A digital clock displays 12:21. Its mirror image (vertical reflection) would show:
Answer: C
In digital mirror image, the numerals are individually reflected and positions adjusted. 12:21 becomes 12:51 considering digit transformations.
Q.170Hard
A shape undergoes both mirror reflection (vertical) and water image (horizontal). If a point moves from position (3,4) to (3,-4) after both transformations, which transformation happened first?
Answer: C
Both transformations applied result in the same final position regardless of order due to the properties of perpendicular reflections.
Q.171Medium
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.172Medium
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.173Easy
Which of the following words appears exactly the same in both mirror and water image?
Answer: C
CIVIC is palindromic and symmetric both horizontally and vertically, so it appears identical in mirror image and water image.
Q.174Medium
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).
Q.175Easy
If the mirror image of a number reads as '2002', what was the original number?
Answer: A
2002 is a palindromic number that reads the same when mirrored. Each digit (2,0,0,2) appears identical in vertical mirror reflection.
Q.176Easy
A right-angled triangle with legs of length 3 and 4 units is reflected in a horizontal mirror line. What happens to its area?
Answer: B
Mirror reflection is an isometric transformation that preserves distances and areas. The reflected triangle has the same dimensions and area = 6 square units.
Q.177Hard
The word 'MATHEMATICS' undergoes water image transformation (horizontal flip). How many letters change their appearance?
Answer: C
Letters unchanged in water image: M, A, T, H, A, T, I, C, S (9 letters). Letters that change: E, M (second M). Total = 10 letters change when all instances are counted.
Q.178Hard
A figure is first reflected in a vertical mirror, then the result is reflected in a horizontal mirror. What is the net effect?
Answer: A
Vertical mirror reflection followed by horizontal mirror reflection is equivalent to a 180° rotation about the point of intersection of the mirror lines.
Q.179Easy
When the numeral '8' is reflected in a vertical mirror, what appears?
Answer: A
The numeral '8' has vertical symmetry and appears identical when reflected in a vertical mirror line.
Q.180Medium
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.
