Which of the following has 5 lines of symmetry?a)A circle.b)A regular pentagon.c)A triangle.d)A quadrilateral.Correct answer is option 'B'. Can you explain this answer?

Question

Answer

In above given options only pentagone has five sides and in greek penta mean 5.(as in greek di=2, tri=3,tetra=4,penta=5,hexa=6 etc)

Answer

Understanding Lines of Symmetry
Lines of symmetry are imaginary lines that divide a shape into two identical halves. When a shape can be folded along a line of symmetry, both halves match perfectly.
Shapes and Their Lines of Symmetry
- A Circle:
- A circle has infinite lines of symmetry. Any line through its center will divide it into two equal halves.
- A Regular Pentagon:
- A regular pentagon has exactly five lines of symmetry. Each line runs from a vertex to the midpoint of the opposite side or from the center to a vertex.
- This means that if you were to fold the pentagon along any of these five lines, both sides would match perfectly.
- A Triangle:
- An equilateral triangle has three lines of symmetry. Each line goes from a vertex to the midpoint of the opposite side.
- However, other types of triangles may have fewer or no lines of symmetry.
- A Quadrilateral:
- A quadrilateral, depending on its specific type (like a rectangle or square), can have up to 4 lines of symmetry but not specifically 5.
Conclusion
The correct answer is option 'B', the regular pentagon, as it uniquely possesses 5 lines of symmetry. Understanding this concept helps in identifying symmetry in various geometric shapes, which is a fundamental aspect of geometry in Class 6.

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