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### Middle/High School Algebra, Geometry, and Statistics (AGS)5.11 Stages in The Structure of a Theorem

#### The various stages in the structure of the theorem

1. Statement: What they are given in the problem.

2. Figure: A figure may be drawn relevant to what is described in the statement.

3. Hypothesis: The given conditions of the theorem.

4. Conclusion: What is the required to be proved.

5. Construction: If we may be required to add some more details like lines angles etc., Such additional details drawn is called construction.

6. Proof: Here we establish what is required to be proved as mentioned in the conclusion part by logical steps. Each step must be supported only by an axiom or by a definition.

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