The mirror image of a number appears as 'ᄅ06'. What is the actual number if read from the mirror?
Answer: A
The mirror-reversed form ᄅ06 represents 609 when reversed back, as 6↔9 in mirror images.
Q.22Hard
In which scenario would a figure appear identical in both mirror and water images?
Answer: C
A figure appears identical in both mirror and water images only if it possesses symmetry about both axes simultaneously, like a square or circle.
Q.23Hard
The water image of the letter 'L' would appear as:
Answer: B
Water image (vertical flip) of 'L' transforms it to a shape resembling 'Γ' (gamma), where the vertical part remains but appears at top and horizontal part at top too.
Q.24Hard
In a complex scenario, if you apply mirror transformation followed by water transformation to the letter 'R', the final result will be:
Answer: D
Applying mirror transformation (horizontal flip) followed by water transformation (vertical flip) is equivalent to a 180-degree rotation.
Q.25Hard
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.
Advertisement
Q.26Hard
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.27Hard
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.28Hard
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.29Hard
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.30Hard
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.31Hard
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.32Hard
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.33Hard
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.34Hard
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.35Hard
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.36Hard
A rectangle with length 8 cm and width 5 cm is reflected in a diagonal mirror. How many of its dimensions change?
Answer: C
When reflected across a diagonal, both length and width swap positions. The reflected figure will have length 5 cm and width 8 cm.
Q.37Hard
A regular hexagon is reflected across a line passing through two opposite vertices. How many vertices remain on the mirror line?
Answer: A
In a regular hexagon, a line through two opposite vertices (mirror line) passes through exactly those 2 vertices, which remain unchanged in position.
Q.38Hard
How many capital English letters from A to Z appear identical in their mirror image when reflected in a vertical mirror?
Answer: B
Letters with vertical line symmetry (A, H, I, M, O, T, U, V, W, X, Y) appear identical in vertical mirror reflection. That's 11 letters total.
Q.39Hard
A rectangular shape positioned at coordinates with corners at (1,1), (5,1), (5,3), (1,3) is subjected to a water image transformation about the line y = 0. What are the new coordinates of the top-left corner originally at (1,3)?
Answer: A
In water image reflection about y = 0 (horizontal line), x-coordinates remain unchanged and y-coordinates are negated. (1, 3) becomes (1, -3).
