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:

An unfolding flip (vertical) combined with a back-viewing flip (horizontal) always results in a net 180-degree rotation of the printed text. You can solve these easily by physically rotating your head or paper upside down.

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.