Govt. Exams
Entrance Exams
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.
'Z' has no vertical or horizontal symmetry. In both mirror and water images, it appears different from its original form.
In horizontal water image reflection, the top and bottom are flipped, so the flat edge moves from top to bottom.
Letters with horizontal symmetry: M, A, T, H, E, I. These 6 letters appear identical in water image.
In vertical mirror reflection, the diagonal that went from top-left to bottom-right now goes from bottom-left to top-right (horizontally reversed).
In vertical mirror reflection (y-axis), x-coordinates change sign while y-coordinates remain the same. (2,3) becomes (-2,3).
In water image (vertical mirror reflection), angles are inverted vertically. A 45-degree line becomes 45 degrees on the opposite side of the horizontal.
When a clock is mirrored horizontally, 3:15 becomes 8:45. The hour and minute hands swap positions relative to the vertical axis.
If a word has perfect mirror symmetry (like 'RADAR' or 'LEVEL'), its mirror image will be identical to the original.
Water image flips figures vertically. An upward-pointing vertex becomes downward-pointing in the water image.