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Writing proofs in geometry implies...

Writing proofs in geometry implies

A

argument or justification of statements

B

description of a geometrical problem

C

steps of drawing a figure

D

two-column table of axioms and deductions

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question "Writing proofs in geometry implies," we need to analyze the options provided and determine which one best describes the objective of writing proofs in geometry. ### Step 1: Understand the question The question asks what writing proofs in geometry implies, meaning we need to identify the purpose or objective of geometric proofs. **Hint:** Think about what geometric proofs are used for in mathematics. ### Step 2: Analyze the options We have four options to consider: - **Option A:** Argument or justification of statements. - **Option B:** Description of geometrical problem. - **Option C:** Steps of drawing a figure. - **Option D:** Two-column table of exams and deductions. **Hint:** Consider what each option means in the context of geometry and proofs. ### Step 3: Evaluate each option - **Option A:** Argument or justification of statements – This option suggests that proofs provide reasons for why certain geometric statements are true. This is a valid aspect of proofs. - **Option B:** Description of geometrical problem – This option implies that proofs describe problems rather than solve or justify them, which is not the primary purpose of proofs. - **Option C:** Steps of drawing a figure – This option suggests that proofs are primarily about the construction of figures, which is a part of geometry but does not encompass the full purpose of proofs. - **Option D:** Two-column table of exams and deductions – This option refers to a specific format for presenting proofs but does not capture the essence of what writing proofs implies. **Hint:** Reflect on which option encompasses the broader purpose of geometric proofs. ### Step 4: Identify the correct answer After evaluating the options, we find that: - **Option A** (Argument or justification of statements) is the most accurate because geometric proofs are fundamentally about providing logical reasoning for why certain geometric relationships hold true. **Hint:** Think about the role of proofs in validating geometric concepts. ### Conclusion The correct answer to the question "Writing proofs in geometry implies" is **Option A: Argument or justification of statements.** ### Summary of Steps: 1. Understand the question. 2. Analyze the options. 3. Evaluate each option based on its relevance to geometric proofs. 4. Identify the correct answer based on the evaluation.
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