To determine which of the given shapes are polygons, we need to understand the definition of a polygon. A
polygon is a closed two-dimensional shape with straight sides. Key characteristics of a polygon include:
1. It must be a closed figure.
2. All its sides must be straight line segments.
3. It cannot have any curved lines.
Let's analyze each shape one by one:
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1)
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Shape: A quadrilateral with straight sides.
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Analysis: This is a closed figure with straight sides.
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Conclusion: YES
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2)
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Shape: A quadrilateral with straight sides.
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Analysis: This is a closed figure with straight sides.
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Conclusion: YES
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3)
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Shape: A rectangle (a type of quadrilateral).
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Analysis: This is a closed figure with straight sides.
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Conclusion: YES
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4)
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Shape: A hexagon (a six-sided polygon).
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Analysis: This is a closed figure with straight sides.
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Conclusion: YES
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5)
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Shape: A figure with one curved side.
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Analysis: This shape has a curved side, which violates the requirement for all sides to be straight.
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Conclusion: NO
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6)
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Shape: An "X" shape that is not closed.
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Analysis: This shape is not a closed figure.
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Conclusion: NO
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7)
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Shape: An ellipse (a curved shape).
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Analysis: This shape has curved sides, which violates the requirement for all sides to be straight.
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Conclusion: NO
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8)
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Shape: A pentagon (a five-sided polygon).
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Analysis: This is a closed figure with straight sides.
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Conclusion: YES
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9)
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Shape: A parallelogram (a type of quadrilateral).
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Analysis: This is a closed figure with straight sides.
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Conclusion: YES
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10)
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Shape: A square (a type of quadrilateral).
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Analysis: This is a closed figure with straight sides.
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Conclusion: YES
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Final Answers:
1. YES
2. YES
3. YES
4. YES
5. NO
6. NO
7. NO
8. YES
9. YES
10. YES
Boxed Answer:
\[
\boxed{
\begin{array}{ll}
1) \text{YES} & 2) \text{YES} \\
3) \text{YES} & 4) \text{YES} \\
5) \text{NO} & 6) \text{NO} \\
7) \text{NO} & 8) \text{YES} \\
9) \text{YES} & 10) \text{YES} \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of polygon or not worksheet.
