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What is the next shape in a regular polygon sequence after a quadrilateral?
- a)Triangle
- b)Pentagon
- c)Hexagon
- d)Octagon
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
What is the next shape in a regular polygon sequence after a quadrilat...
A quadrilateral has 4 sides, and the next regular polygon in the sequence is a pentagon, which has 5 equal sides.
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What is the next shape in a regular polygon sequence after a quadrilat...
Understanding Regular Polygons
In geometry, a regular polygon is a shape with all sides and angles equal. The names of these polygons depend on the number of sides they have.
Sequence of Regular Polygons
Let's explore the sequence starting from a quadrilateral:
- Triangle: 3 sides
- Quadrilateral: 4 sides
- Pentagon: 5 sides
- Hexagon: 6 sides
- Octagon: 8 sides
Identifying the Next Shape
After a quadrilateral (which has 4 sides), we look for the next polygon in the sequence based on the number of sides:
- The triangle has 3 sides.
- The quadrilateral has 4 sides.
- The next polygon, the pentagon, has 5 sides.
Thus, the correct answer is Pentagon (option B).
Why is the Pentagon Next?
- Increasing Order: The sequence of polygons increases in the number of sides.
- Following Pattern: After 3 sides (triangle) comes 4 sides (quadrilateral), and then logically, the next step is 5 sides (pentagon).
Conclusion
In summary, after the quadrilateral, the next shape in the regular polygon sequence is indeed the pentagon, making option B the right choice. Understanding the order of sides helps in identifying the correct polygons in the sequence.
In geometry, a regular polygon is a shape with all sides and angles equal. The names of these polygons depend on the number of sides they have.
Sequence of Regular Polygons
Let's explore the sequence starting from a quadrilateral:
- Triangle: 3 sides
- Quadrilateral: 4 sides
- Pentagon: 5 sides
- Hexagon: 6 sides
- Octagon: 8 sides
Identifying the Next Shape
After a quadrilateral (which has 4 sides), we look for the next polygon in the sequence based on the number of sides:
- The triangle has 3 sides.
- The quadrilateral has 4 sides.
- The next polygon, the pentagon, has 5 sides.
Thus, the correct answer is Pentagon (option B).
Why is the Pentagon Next?
- Increasing Order: The sequence of polygons increases in the number of sides.
- Following Pattern: After 3 sides (triangle) comes 4 sides (quadrilateral), and then logically, the next step is 5 sides (pentagon).
Conclusion
In summary, after the quadrilateral, the next shape in the regular polygon sequence is indeed the pentagon, making option B the right choice. Understanding the order of sides helps in identifying the correct polygons in the sequence.
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What is the next shape in a regular polygon sequence after a quadrilateral?a)Triangleb)Pentagonc)Hexagond)OctagonCorrect answer is option 'B'. Can you explain this answer? for Class 5 2025 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about What is the next shape in a regular polygon sequence after a quadrilateral?a)Triangleb)Pentagonc)Hexagond)OctagonCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 5 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the next shape in a regular polygon sequence after a quadrilateral?a)Triangleb)Pentagonc)Hexagond)OctagonCorrect answer is option 'B'. Can you explain this answer?.
What is the next shape in a regular polygon sequence after a quadrilateral?a)Triangleb)Pentagonc)Hexagond)OctagonCorrect answer is option 'B'. Can you explain this answer? for Class 5 2025 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about What is the next shape in a regular polygon sequence after a quadrilateral?a)Triangleb)Pentagonc)Hexagond)OctagonCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 5 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the next shape in a regular polygon sequence after a quadrilateral?a)Triangleb)Pentagonc)Hexagond)OctagonCorrect answer is option 'B'. Can you explain this answer?.
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