Question

In the series given, the first is an equilateral triangle, the second becomes a square by rearranging the pieces, and the third becomes a regular pentagon without any rotation. Similarly, the fourth becomes a regular hexagon. Which of the options given therefore replaces the question mark?

• A.
• B.
• C.
• D.

Answer 1

The Correct Option is C

To determine which option replaces the question mark in the given series, we need to identify the logical pattern based on the transformation of shapes:
The series progresses from an equilateral triangle to a square, then a regular pentagon, and next to a regular hexagon. The key to solving this puzzle lies in recognizing the transformation of shapes sequentially, following the pattern of regular polygons.
Here are the steps for finding the solution:

1. Understand that each figure can be rearranged into its successor without any further rotation, maintaining the symmetry of the regular polygons.
2. The sequence of polygons is: Triangle (3 sides) → Square (4 sides) → Pentagon (5 sides) → Hexagon (6 sides).
3. The next shape in the logical sequence is a Heptagon (7 sides).
4. Review the given options, identifying the one that can be rearranged without any rotation into a shape with seven equal sides, which mirrors the transition in previously transformed figures.

After analyzing the options based on these transformations, the correct answer is the image: