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Question
Classify the following curve as open or closed:
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Solution
Open curve: A curve in which the beginning and end points are different or do not cut each other.
Closed curve: A curve in which the beginning and end points are the same and cut each other.
By the above definitions, we can classify the given figure as follow:
Open curve
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| Figure |  |
 |
 |
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| Side | 3 | 4 | 5 | 6 |
| Angle sum | 180° |
2 × 180° = (4 − 2) × 180° |
3 × 180° = (5 − 2) × 180° |
4 × 180° = (6 − 2) × 180° |
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