Concept:In teaching geometry, the method that helps in proving theorems by starting from the conclusion and breaking it into simpler logical steps to connect with the given hypothesis is called the analysis method (also known as the analytic method).
Explanation:1. To prove a geometrical theorem, we need a clear chain of reasoning from the given data to the desired conclusion.
2. The analysis method works backward: begin with the statement to be proved (the conclusion) and break it into simpler sub‑statements, each supported by previously known facts or given conditions.
3. This process continues until we reach the known hypothesis or axioms, thus establishing a logical path for the proof.
4. In contrast:
- Deductive method applies a known general rule to specific cases (used for application, not proof discovery).
- Inductive method derives a general rule from specific examples (useful for pattern discovery, not formal proof).
- Project method involves completing a task in a real‑world setting.
5. Therefore, the analysis method directly enables reasoning and step‑by‑step verification, making it ideal for proving geometrical theorems.
Answer:C. Analysis method