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.142Easy
A right-angled triangle has its right angle at the bottom-left corner. When reflected in a vertical mirror, where will the right angle appear?
Answer: A
Vertical mirror reflection (left-right reversal) moves the right angle from bottom-left to bottom-right.
Q.143Hard
The mirror image of '2024' as displayed on a digital seven-segment display would be?
Answer: C
On seven-segment display, '2' in mirror becomes an unrecognizable shape, and '4' becomes distorted. The overall image becomes unrecognizable.
Q.144Medium
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.145Medium
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.146Hard
A quadrilateral ABCD has vertices A(1,2), B(4,2), C(4,5), D(1,5). If reflected in a vertical mirror (y-axis), what is the distance between original point B and reflected point B'?
Answer: A
Point B(4,2) reflects to B'(-4,2). Distance = √[(4-(-4))² + (2-2)²] = √64 = 8 units.
Q.147Easy
In a water image of a geometric figure, if a point moves 3cm upward from the centerline, where will it appear in the water image?
Answer: B
Water image involves horizontal mirror reflection. Vertical positions are inverted, so 3cm upward becomes 3cm downward.
Q.148Medium
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.149Hard
The pattern '→↑←↓' undergoes water image transformation. What will be the resulting pattern?
Answer: C
In water image, horizontal arrows flip (→ becomes ←, ← becomes →) and vertical arrows flip (↑ becomes ↓, ↓ becomes ↑). Pattern becomes '←↑→↓'.
Q.150Medium
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.151Hard
In a complex scenario combining both mirror and water images, a letter 'X' undergoes vertical mirror reflection followed by horizontal mirror reflection. What is the final orientation?
Answer: A
'X' has perfect symmetry both vertically and horizontally. Two sequential reflections at 90 degrees to each other result in the original orientation.
Q.152Medium
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.153Easy
In a water image (horizontal mirror), the arrangement '5 3 8 1' becomes:
Answer: A
Water image involves horizontal reflection, reversing the order of elements. '5 3 8 1' becomes '1 8 3 5' when reflected horizontally.
Q.154Medium
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.155Easy
Which of the following symbols has both vertical and horizontal symmetry?
Answer: A
The symbol ⊕ (circle with cross) has both vertical and horizontal line symmetry. Triangle has only vertical, diamond has both diagonals but the question refers to perpendicular axes, and arrow has neither.
Q.156Medium
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.157Easy
In water image transformation, a right-pointing arrow '→' becomes:
Answer: A
Water image (horizontal reflection) reverses left-right orientation. A right-pointing arrow becomes left-pointing arrow.
Q.158Hard
The mirror image of a shape shows that point P at distance 4cm from the mirror is now 8cm from point P'. This demonstrates which principle?
Answer: D
All these principles demonstrate that in mirror reflection, the mirror acts as a perpendicular bisector with equal distances on both sides.
Q.159Medium
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.160Easy
Which digit from 0-9 looks identical to its mirror image when reflected in a vertical mirror?
Answer: A
Digits 0, 1, and 8 have vertical line symmetry and appear identical in a vertical mirror reflection.
