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A simple closed curve made up of only line segments is called a _____.
- a)angle
- b)polygon
- c)quadrilateral
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A simple closed curve made up of only line segments is called a _____....
The correct answer is option 'B' - polygon.
A polygon is a simple closed curve made of three or more line segments. It is a two-dimensional shape with straight sides. The word "polygon" comes from the Greek words "poly" meaning "many" and "gonia" meaning "angle." A polygon can have any number of sides, but it must have at least three sides to be considered a polygon.
Properties of a Polygon:
1. Sides: A polygon has straight sides, which are line segments. Each side connects two vertices (corners) of the polygon.
2. Vertices: The corners of a polygon are called vertices. Each vertex is the endpoint of two sides.
3. Interior Angles: The interior angles of a polygon are the angles formed inside the shape. The sum of the interior angles of a polygon with n sides can be calculated using the formula (n-2) * 180 degrees.
4. Exterior Angles: The exterior angles of a polygon are the angles formed outside the shape. The sum of the exterior angles of any polygon is always 360 degrees.
5. Diagonals: Diagonals are line segments that connect any two non-adjacent vertices of a polygon. The number of diagonals in a polygon can be found using the formula n * (n-3) / 2, where n is the number of sides.
6. Convex and Concave: A polygon can be convex or concave. A convex polygon has all interior angles less than 180 degrees, while a concave polygon has at least one interior angle greater than 180 degrees.
Examples of Polygons:
- Triangle: A triangle is a polygon with three sides and three vertices.
- Quadrilateral: A quadrilateral is a polygon with four sides and four vertices.
- Pentagon: A pentagon is a polygon with five sides and five vertices.
- Hexagon: A hexagon is a polygon with six sides and six vertices.
- Octagon: An octagon is a polygon with eight sides and eight vertices.
In conclusion, a polygon is a simple closed curve made of three or more line segments. It is a fundamental concept in geometry and has various properties and classifications based on the number of sides and angles it possesses.
A polygon is a simple closed curve made of three or more line segments. It is a two-dimensional shape with straight sides. The word "polygon" comes from the Greek words "poly" meaning "many" and "gonia" meaning "angle." A polygon can have any number of sides, but it must have at least three sides to be considered a polygon.
Properties of a Polygon:
1. Sides: A polygon has straight sides, which are line segments. Each side connects two vertices (corners) of the polygon.
2. Vertices: The corners of a polygon are called vertices. Each vertex is the endpoint of two sides.
3. Interior Angles: The interior angles of a polygon are the angles formed inside the shape. The sum of the interior angles of a polygon with n sides can be calculated using the formula (n-2) * 180 degrees.
4. Exterior Angles: The exterior angles of a polygon are the angles formed outside the shape. The sum of the exterior angles of any polygon is always 360 degrees.
5. Diagonals: Diagonals are line segments that connect any two non-adjacent vertices of a polygon. The number of diagonals in a polygon can be found using the formula n * (n-3) / 2, where n is the number of sides.
6. Convex and Concave: A polygon can be convex or concave. A convex polygon has all interior angles less than 180 degrees, while a concave polygon has at least one interior angle greater than 180 degrees.
Examples of Polygons:
- Triangle: A triangle is a polygon with three sides and three vertices.
- Quadrilateral: A quadrilateral is a polygon with four sides and four vertices.
- Pentagon: A pentagon is a polygon with five sides and five vertices.
- Hexagon: A hexagon is a polygon with six sides and six vertices.
- Octagon: An octagon is a polygon with eight sides and eight vertices.
In conclusion, a polygon is a simple closed curve made of three or more line segments. It is a fundamental concept in geometry and has various properties and classifications based on the number of sides and angles it possesses.
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Community Answer
A simple closed curve made up of only line segments is called a _____....
A polygon is one which is made of straight line segments and encloses a single area that is bounded by them.
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A simple closed curve made up of only line segments is called a _____.a)angleb)polygonc)quadrilaterald)None of theseCorrect answer is option 'B'. Can you explain this answer?
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