Govt. Exams
Entrance Exams
In water image reflection about y = 0 (horizontal line), x-coordinates remain unchanged and y-coordinates are negated. (1, 3) becomes (1, -3).
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.
In a regular hexagon, a line through two opposite vertices (mirror line) passes through exactly those 2 vertices, which remain unchanged in position.
When reflected across a diagonal, both length and width swap positions. The reflected figure will have length 5 cm and width 8 cm.
Vertical mirror reflection followed by horizontal mirror reflection is equivalent to a 180° rotation about the point of intersection of the mirror lines.
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.
Both transformations applied result in the same final position regardless of order due to the properties of perpendicular reflections.
In digital mirror image, the numerals are individually reflected and positions adjusted. 12:21 becomes 12:51 considering digit transformations.
Letter 'I' is a single vertical line and has complete vertical symmetry, requiring no additional strokes for mirror image.
Vertical mirror reflection followed by horizontal water image reflection results in 180° rotation about the point of intersection of the two mirrors.
