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A simple closed curve made up of only line segments is called a ________.
- a)polygon
- b)quadrilateral
- c)hexagon
- d)none of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A simple closed curve made up of only line segments is called a ______...
Explanation:
- Polygon: A polygon is a closed figure made up of line segments. It can have any number of sides, including triangles, quadrilaterals, pentagons, and so on.
- Quadrilateral: A quadrilateral is a polygon with four sides and four angles. It is a specific type of polygon, not a general closed curve made up of line segments.
- Hexagon: A hexagon is a polygon with six sides and six angles. Like the quadrilateral, it is a specific type of polygon and not a general closed curve made up of line segments.
- None of these: This option does not apply as the correct answer is A - polygon.
Therefore, the correct answer is A: polygon. A simple closed curve made up of only line segments is called a polygon.
Most Upvoted Answer
A simple closed curve made up of only line segments is called a ______...
Understanding Simple Closed Curves
A simple closed curve is defined as a shape that does not intersect itself and ends at the starting point. When this curve is composed of only straight line segments, it is specifically referred to as a polygon.
What is a Polygon?
- A polygon is a two-dimensional geometric figure.
- It is formed by connecting a finite number of points (vertices) with line segments (edges).
- The line segments must connect sequentially and form a closed loop.
Characteristics of Polygons:
- Vertices: The corners or points where the sides meet.
- Edges: The straight line segments that connect the vertices.
- Types of Polygons: Depending on the number of sides, polygons can be classified as:
- Triangles (3 sides)
- Quadrilaterals (4 sides)
- Pentagons (5 sides)
- Hexagons (6 sides) and so on.
Why Option A is Correct?
- The term "polygon" encompasses all types of simple closed curves made of line segments.
- While quadrilaterals and hexagons are specific types of polygons, the broader term "polygon" is the most accurate answer to describe a simple closed curve comprised of straight lines.
Conclusion
In summary, the correct answer to the question is option A, "polygon," because it encapsulates all shapes formed by line segments that create a closed figure, distinguishing it from specific types of polygons like quadrilaterals or hexagons.
A simple closed curve is defined as a shape that does not intersect itself and ends at the starting point. When this curve is composed of only straight line segments, it is specifically referred to as a polygon.
What is a Polygon?
- A polygon is a two-dimensional geometric figure.
- It is formed by connecting a finite number of points (vertices) with line segments (edges).
- The line segments must connect sequentially and form a closed loop.
Characteristics of Polygons:
- Vertices: The corners or points where the sides meet.
- Edges: The straight line segments that connect the vertices.
- Types of Polygons: Depending on the number of sides, polygons can be classified as:
- Triangles (3 sides)
- Quadrilaterals (4 sides)
- Pentagons (5 sides)
- Hexagons (6 sides) and so on.
Why Option A is Correct?
- The term "polygon" encompasses all types of simple closed curves made of line segments.
- While quadrilaterals and hexagons are specific types of polygons, the broader term "polygon" is the most accurate answer to describe a simple closed curve comprised of straight lines.
Conclusion
In summary, the correct answer to the question is option A, "polygon," because it encapsulates all shapes formed by line segments that create a closed figure, distinguishing it from specific types of polygons like quadrilaterals or hexagons.
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A simple closed curve made up of only line segments is called a ______...
(A) option (the curve made up of line segments).
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