QUESTION IMAGE
Question
multiple choice 6 points fellow classmate, coleman, states that all students love geometry, but offers no rationale for his statement. this is an example of what? inductive reasoning deductive reasoning a counterexample an example a conjecture multiple choice 1 point the sum of the measures of the interior angles of any triangle is 180°. polygon qag is a triangle, so the sum of th determine the correct type of reasoning r conjecture deductive reasoning postulate inductive reasoning
Brief Explanations
- For the first question, Coleman made a statement without proof or reasoning. A conjecture is an unproven statement based on observations. Since there is no evidence or logical steps, it's a conjecture.
- For the second question, we start with a general rule (sum of interior - angles of any triangle is 180°) and then apply it to a specific case (Polygon QAG is a triangle). Deductive reasoning goes from general to specific, so this is deductive reasoning.
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- E. a conjecture
- B. deductive reasoning