Which of the following is an example of a closed-sided figure?a)Lineb)...
A closed-sided figure is one where all the sides connect to form a complete shape without any open ends. A triangle is a perfect example as it has three connected sides.
Which of the following is an example of a closed-sided figure?a)Lineb)...
Understanding Closed-Sided Figures
In geometry, a closed-sided figure, also known as a polygon, is a shape that consists of a finite number of straight line segments connected to form a closed path. Let’s analyze the options provided to identify which one qualifies as a closed-sided figure.
Options Analysis
- Line:
A line extends infinitely in both directions and does not form a closed shape. Therefore, it is not a closed-sided figure.
- Triangle:
A triangle consists of three straight sides that connect at three vertices, forming a complete enclosed area. Thus, a triangle is indeed a closed-sided figure.
- Ray:
A ray has one endpoint and extends infinitely in one direction. Like a line, it does not enclose any space, making it not a closed-sided figure.
- Half-Circle:
A half-circle has a curved edge and a straight edge, but it does not completely enclose an area. Hence, it is not classified as a closed-sided figure.
Conclusion
From the above analysis, the only option that qualifies as a closed-sided figure is:
- Triangle (Option B)
This is because a triangle completely encloses an area with its three sides, making it a perfect example of a closed-sided figure in geometry.
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