Govt. Exams
Entrance Exams
Mirror reflection preserves distances and angles. Side lengths AB and AC remain equal, and all sides maintain their original lengths in the mirror image.
In water image (horizontal reflection), digits are inverted and reversed. 2→ᄅ, 0→0, 2→ᄅ, 4→ᄅ, creating ᄅ0ᄅᄅ.
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.
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).
Both mirror reflection and water reflection are isometric transformations that preserve distances, angles, and area, but reverse orientation.
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.
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.
Water image (horizontal reflection) preserves all angles. The angle A remains 60° in the reflected figure.
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).
In vertical mirror reflection, digits are reversed and each digit is horizontally flipped. 15:47 becomes 74:51 when reflected vertically.
