Illustrate if possible each one of the following with a rough drawing....
Open Curve Made up of Line Segments
An open curve made up entirely of line segments is a geometric figure that is formed by connecting a series of straight line segments together. This type of curve does not close back on itself, meaning that it does not form a complete loop or shape. Instead, it continues indefinitely in one direction.
How to Create an Open Curve Made up of Line Segments
To create an open curve made up of line segments, follow these steps:
1. Start by drawing a straight line segment in any direction. This will be the first segment of the curve.
2. From the endpoint of the first segment, draw another straight line segment that extends in a different direction. The endpoint of this segment will be the starting point for the next segment.
3. Repeat step 2, connecting line segments together until the desired curve shape is achieved. Each segment should connect to the endpoint of the previous segment, forming a continuous line.
4. Remember that the curve should not close back on itself. It should continue indefinitely in one direction.
Example of an Open Curve Made up of Line Segments
Here is an example of an open curve made up entirely of line segments:
```
----- ------
\ /
\ /
\ /
\/
```
In this example, the curve starts at the left and continues to the right. Each line segment connects to the endpoint of the previous segment, creating a continuous curve. However, the curve does not close back on itself, as it continues indefinitely in one direction.
Conclusion
An open curve made up entirely of line segments is a geometric figure that consists of a series of straight line segments connected together. It does not form a complete loop or shape and continues indefinitely in one direction. By following the steps outlined above, you can create your own open curve made up of line segments.
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