A transparent sheet with a pattern is given below. Select the option that depicts the pattern that would appear when the given transparent sheet is folded at the middle horizontal line.

- (a)

- (b)

- (c)

- (d)

Answer
Why
Correct — D. The sheet is a rectangle cut by a middle horizontal line.
Its top half carries an arrow that starts on that line, about halfway across, and runs up to the top-right corner.
Its bottom half carries a matching arrow from the bottom edge up to the right, its head stopping just under the line.
Every option draws the lower half solid and the upper half dashed, so the top half is the one that comes down.
Rule: a fold about a horizontal line flips the moving half top-to-bottom, not left-to-right.
Flipped down, the top arrow keeps its distances from the left edge and reverses vertically. It now begins on the fold line about halfway across and runs downward to the bottom-right, head pointing down-right.
The sheet is transparent, so it lands on top of the bottom half's own arrow, which still runs up to the right. The two cross in the right-hand part of the rectangle, one head up-right and one head down-right — option (d).
Why the others are wrong
- (a)Option (a) shows only the bottom half's arrow. The sheet is transparent, so the upper arrow shows through after the fold and cannot disappear.
- (b)Option (b) leaves both heads pointing upward. Folding the top half down must reverse that arrow vertically, so its head has to end up pointing down.
- (c)Option (c) sets the two arrows in a V, meeting at the bottom centre and both rising. That is a left-right reflection, which is the fold about a vertical line.
Concept
Folding a transparent sheet is a reflection followed by a superimposition. The half that moves is mirrored in the fold line, and then both halves are read together, because the marks show through.
So the answer always carries every mark on the sheet, never a subset. What changes is where the moving marks sit and which way they point.
The fold line is horizontal, so vertical positions reverse and horizontal positions do not. An arrowhead that pointed up must point down after the fold, and it stays the same distance from the left edge.
Key facts
- A fold about a horizontal line reverses up and down while leaving left and right alone.
- A transparent sheet superimposes both halves, so both arrows survive the fold.
- The options draw the folding half dashed and the receiving half solid.
Study next
Common traps
- Reflecting left-to-right when the fold line is horizontal.
- Drawing the folded mark and forgetting the half it lands on.
- Reading which half is dashed and which is solid the wrong way round.
The transparent-sheet fold about the middle horizontal line is set at 17 Sep 2024, 09:00, Reasoning Q.15 and at 17 Sep 2024, 12:30, Reasoning Q.5, both worded around the same middle horizontal line.
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