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What is the total number of diagonals that can be drawn from one vertex of a polygon with 6 sides?
- a)6
- b)3
- c)5
- d)4
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
What is the total number of diagonals that can be drawn from one verte...
The formula for the number of diagonals from one vertex of an n-sided polygon is (n - 3). For a hexagon (6 sides), the calculation is (6 - 3) = 3 diagonals.
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What is the total number of diagonals that can be drawn from one verte...
Understanding Diagonals in a Polygon
To find the number of diagonals that can be drawn from one vertex of a polygon, we first need to understand the structure of the polygon. In this case, we are dealing with a hexagon (a polygon with 6 sides).
Vertices and Sides
- A hexagon has 6 vertices.
- Each vertex connects to the adjacent vertices to form the sides of the hexagon.
Identifying Possible Connections
- From one vertex, you can draw lines to other vertices.
- However, lines drawn to the adjacent vertices are sides, not diagonals.
Calculating Diagonals from One Vertex
1. Total Vertices: 6 (let's label them A, B, C, D, E, F).
2. Adjacent Vertices: Each vertex connects to 2 adjacent vertices. For example, if we start at vertex A, it connects to B and F.
3. Remaining Vertices: After excluding the vertex itself and the two adjacent vertices, you have:
- Total vertices (6) - 1 (the vertex itself) - 2 (adjacent vertices) = 3 vertices.
Conclusion
Thus, from one vertex of a hexagon, you can draw diagonals to 3 other vertices. Therefore, the total number of diagonals that can be drawn from one vertex of a polygon with 6 sides is:
- Correct Answer: 3 (Option B).
This approach can be applied to any polygon by adjusting the number of sides accordingly!
To find the number of diagonals that can be drawn from one vertex of a polygon, we first need to understand the structure of the polygon. In this case, we are dealing with a hexagon (a polygon with 6 sides).
Vertices and Sides
- A hexagon has 6 vertices.
- Each vertex connects to the adjacent vertices to form the sides of the hexagon.
Identifying Possible Connections
- From one vertex, you can draw lines to other vertices.
- However, lines drawn to the adjacent vertices are sides, not diagonals.
Calculating Diagonals from One Vertex
1. Total Vertices: 6 (let's label them A, B, C, D, E, F).
2. Adjacent Vertices: Each vertex connects to 2 adjacent vertices. For example, if we start at vertex A, it connects to B and F.
3. Remaining Vertices: After excluding the vertex itself and the two adjacent vertices, you have:
- Total vertices (6) - 1 (the vertex itself) - 2 (adjacent vertices) = 3 vertices.
Conclusion
Thus, from one vertex of a hexagon, you can draw diagonals to 3 other vertices. Therefore, the total number of diagonals that can be drawn from one vertex of a polygon with 6 sides is:
- Correct Answer: 3 (Option B).
This approach can be applied to any polygon by adjusting the number of sides accordingly!
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What is the total number of diagonals that can be drawn from one vertex of a polygon with 6 sides?a)6b)3c)5d)4Correct answer is option 'B'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about What is the total number of diagonals that can be drawn from one vertex of a polygon with 6 sides?a)6b)3c)5d)4Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the total number of diagonals that can be drawn from one vertex of a polygon with 6 sides?a)6b)3c)5d)4Correct answer is option 'B'. Can you explain this answer?.
What is the total number of diagonals that can be drawn from one vertex of a polygon with 6 sides?a)6b)3c)5d)4Correct answer is option 'B'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about What is the total number of diagonals that can be drawn from one vertex of a polygon with 6 sides?a)6b)3c)5d)4Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the total number of diagonals that can be drawn from one vertex of a polygon with 6 sides?a)6b)3c)5d)4Correct answer is option 'B'. Can you explain this answer?.
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