Which problem-solving approach best describes the methods used in these kinds of puzzles?

• A. Algebraic equations
• B. Geometric reasoning
• C. Trial and error
• D. Dimensional analysis

Answer: (B)

Geometric reasoning focuses on shapes, how figures fit together, and the spatial relationships between parts. In these puzzles, the solution comes from spotting pattern regularities—congruence, symmetry, rotations, reflections, and consistent relationships between lengths and angles across steps. That kind of visual deduction directly uses the shapes and how they relate, rather than solving equations or guessing.

Algebraic equations would require setting up variables and solving numeric expressions, which isn’t how these visual patterns usually work. Trial and error would involve trying many possibilities until one works, which is inefficient and doesn’t reveal the underlying rule. Dimensional analysis deals with units and measurements, not the pattern in shapes and layouts. By relying on geometric reasoning, you leverage the actual relationships the puzzles are built on to determine the answer.