A triangle with vertices at points (1,1), (3,1), and (2,3) is reflected in a vertical mirror (y-axis). What will be the new coordinates of the top vertex?
Answer: A
In vertical mirror reflection (y-axis), x-coordinates change sign while y-coordinates remain the same. (2,3) becomes (-2,3).
Q.22Medium
A square of side 5cm with a diagonal drawn from top-left to bottom-right is placed before a vertical mirror. How does the diagonal appear in the mirror image?
Answer: A
In vertical mirror reflection, the diagonal that went from top-left to bottom-right now goes from bottom-left to top-right (horizontally reversed).
Q.23Medium
The word 'MATHEMATICS' is reflected in a horizontal mirror (water image). How many letters will look identical to their original form?
Answer: C
Letters with horizontal symmetry: M, A, T, H, E, I. These 6 letters appear identical in water image.
Q.24Medium
A semicircle with its flat edge at the top is reflected in a horizontal mirror. How will it appear?
Answer: A
In horizontal water image reflection, the top and bottom are flipped, so the flat edge moves from top to bottom.
Q.25Medium
Which letter from the English alphabet has NO line symmetry in either mirror or water images?
Answer: D
'Z' has no vertical or horizontal symmetry. In both mirror and water images, it appears different from its original form.
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Q.26Medium
A regular hexagon with one vertex pointing straight up is placed before a vertical mirror. How many vertices will remain in the same relative position (same row)?
Answer: B
In a regular hexagon with top vertex pointing up, only the top vertex and bottom vertex remain on the centerline and maintain the same relative row position.
Q.27Medium
Which of the following numbers remains numerically unchanged when reflected in a vertical mirror?
Answer: D
All three numbers (121, 101, 111) have digits that are vertically symmetric (1 and 2 are symmetric), and when reflected, they read the same numerically.
Q.28Medium
When the word 'COMPETITIVE' is reflected in a vertical mirror, which letter will appear in the same position as in the original word?
Answer: C
Only the letter 'O' has vertical symmetry and appears the same in mirror reflection. However, checking all letters: C, O, T, I, V - only O and I have true vertical mirror symmetry. I appears same in mirror, so answer is I.
Q.29Medium
A clock showing 3:15 is reflected in a vertical mirror. What time will the mirror image show?
Answer: A
In a vertical mirror reflection of a clock, the time transforms as: 12 - (actual time) or using the clock position, 3:15 reflects to 8:45.
Q.30Medium
A figure with vertices at (2,3), (5,3), (5,6), (2,6) is reflected across the y-axis. The new position of vertex (5,3) will be:
Answer: A
Reflection across the y-axis changes (x,y) to (-x,y). Therefore, (5,3) becomes (-5,3).
Q.31Medium
A parallelogram with sides 6cm and 8cm is reflected in a vertical mirror. What will be the dimensions of the mirror image?
Answer: B
Mirror reflection preserves dimensions. The sides remain 6cm and 8cm, only the orientation may change.
Q.32Medium
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.33Medium
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.34Medium
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.35Medium
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.36Medium
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.37Medium
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.38Medium
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.39Medium
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.40Medium
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.
