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Which of the following is not a polygon?...

Which of the following is not a polygon?

A

B

C

D

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The correct Answer is:
To determine which of the given options is not a polygon, we need to understand the definition of a polygon and analyze each option accordingly. ### Step-by-Step Solution: 1. **Understand the Definition of a Polygon**: - A polygon is a closed figure made up of straight line segments. The line segments must connect at their endpoints, and they cannot cross each other. 2. **Examine Each Option**: - **Option 1**: Check if it is a closed figure made of straight lines. - **Option 2**: Check if it is a closed figure made of straight lines. - **Option 3**: Check if it is a closed figure made of straight lines. - **Option 4**: Check if it is a closed figure made of straight lines. 3. **Analyze Option 1**: - If Option 1 is a triangle (3 sides), it is a closed figure made of straight lines. Therefore, it is a polygon. 4. **Analyze Option 2**: - If Option 2 is a quadrilateral (4 sides), it is also a closed figure made of straight lines. Therefore, it is a polygon. 5. **Analyze Option 3**: - If Option 3 is a curve or a straight line, it does not form a closed figure made of straight lines. Therefore, it is **not a polygon**. 6. **Analyze Option 4**: - If Option 4 has multiple sides and is a closed figure made of straight lines, it is a polygon. 7. **Conclusion**: - Based on the analysis, the option that is not a polygon is **Option 3**. ### Final Answer: **Option 3 is not a polygon.** ---
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