Question

“OPEN HEART” is printed on a folded paper as shown below. Identify the CORRECT option when the paper is unfolded and seen from the other side.

• A. Fig A
• B. Fig B
• C. Fig C
• D. Fig D

Hint:

Track only the first and last letter of each word. Reflect them across the fold during unfolding, then reverse left and right because the sheet is viewed from its back.

Answer 1

The Correct Option is C

Step 1: Understanding the Question:
This question belongs to the topic of

Paper Folding, Spatial Reflections, and Mirror Text.
The text "OPEN HEART" is printed on a folded diamond-shaped paper. We are asked to predict how the text will appear when the paper is unfolded and viewed from the reverse side (the other side).

Step 2: Key Formula or Approach:
We use reflection transformations for unfolding and back-viewing:

• Unfolding: When the top and bottom triangular flaps are unfolded, they fold outwards away from the center. This flips the printed text on those flaps vertically (an upside-down flip).

• Viewing from the other side: Looking at a transparent or back-facing sheet mirrors all content horizontally (a left-to-right swap).

• Combining a vertical flip (unfolding) with a horizontal flip (viewing from the back) is mathematically equivalent to a 180-degree rotation of the text.


Step 3: Detailed Explanation:

• Let us track the word "OPEN" on the top flap:
- When unfolded, the top flap is flipped upward. This makes the letters upside down.
- When viewed from the back, the horizontal orientation is mirrored.
- Therefore, "OPEN" is rotated by 180 degrees. The letter 'O' moves to the right side, and 'N' moves to the left side (both upside down).

• Let us track the word "HEART" on the bottom flap:
- Unfolding it downwards flips it vertically.
- Viewing from the back mirrors it horizontally.
- Therefore, "HEART" is also rotated by 180 degrees. The letter 'H' moves to the right side, and 'T' moves to the left side (both upside down).

• Let us inspect the options:
- Option C: Correctly displays the 180-degree rotated versions of "OPEN" at the top and "HEART" at the bottom of the unfolded sheet. The letters are positioned and oriented exactly as required by the double-reflection transformation.


Step 4: Final Answer:
Option (C) is the correct representation.

Answer 2

Concept:

• Track a few diagnostic letters through each movement instead of trying to imagine the complete word at once.
• An unfolding across a fold line reflects the marked region, and viewing the reverse side applies a left-right reversal.

Step 1: Mark the ends of both printed words.
Use the positions of O and N for OPEN, and H and T for HEART. Also note which side of each letter faces the centre of the folded strip.

Step 2: Reverse the folds.
Reflect the upper printed region across its upper fold and the lower printed region across its lower fold. This moves the text to the two opened triangular regions and reverses its vertical orientation.

Step 3: Change to the view from the other side.
Reverse left and right for every tracked letter. The first and last letters now appear in the positions produced by a half-turn of each printed word.

Step 4: Compare the letter positions with the figures.
Only Fig C places both words on the correct flaps with the required order and orientation.

Final Answer: Fig C, option C.