Question

Find out from amongst the four alternatives how the pattern would appear when the transparent sheet is folded at the dotted vertical line (right-edge axis). The figure (X) shows the pattern before folding; choose the correct folded appearance from (a)–(d).

• A. (1)
• B. (2)
• C. (3)
• D. (4)

Hint:

For vertical mirror folds: swap left/right, keep top/bottom unchanged; for transparent sheets, assume perfect superposition about the axis—no rotation, only reflection.

Answer 1

The Correct Option is B

Step 1: Identify the fold axis and direction
The dotted line is a vertical} axis at the right edge of the rectangle. Folding a transparent} sheet along this line maps every point on the left side to a mirror position on the right, without} flipping top/bottom. Hence, the image after folding is the left–right mirror of the original about the dotted line. Step 2: Track distinctive parts of the curve
In (X), note two salient markers: - A small loop near the upper-left} quadrant touching close to the mid-vertical. - A broader curve in the lower-left} quadrant that bends toward the center. Under a right-edge vertical mirror, these features must appear symmetrically in the upper-right} and lower-right} quadrants respectively, with left–right reversed curvature, while their heights remain unchanged. Step 3: Eliminate options using mirror rules
- Option (a) places the upper loop toward the left} after folding—violates the left–right mirror.
- Option (c) reverses vertical placement (as if top/bottom flipped), which a vertical mirror does not do.
- Option (d) misplaces the lower curve, not the exact lateral reflection of (X).
- Option (b) shows the loop in the upper-right} and the broader curve in the lower-right} with correct left–right reversal and unchanged vertical levels—this matches the required mirror image about the dotted line. \[ \boxed{\text{(b)}} \]