# How many lines of symmetry does a regular pentagon have?

$

A.{\text{ 10}} \\

B.{\text{ 6}} \\

C.{\text{ 5}} \\

D.{\text{ 1}} \\

$

Last updated date: 15th Mar 2023

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Total views: 303.9k

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Answer

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Hint: In this question use the concept that any regular polygon has a line of symmetry equal to the number of sides, so use this property to reach the solution of the question.

Complete step-by-step answer:

A regular pentagon has 5 sides and 5 lines of symmetry. The number of lines of symmetry in a regular polygon is equal to the number of sides.

There are 5 lines of symmetry in a regular pentagon. Each one goes from a vertex to the midpoint of the opposite side.

Consider a regular pentagon ABCDE as shown in figure the line of symmetry is also shown as 1, 2, 3, 4, 5 which folds the pentagon into two equal halves.

So, the regular pentagon has 5 sides so the regular pentagon has 5 lines of symmetry which folds the pentagon into two equal halves.

So, this is the required answer.

Hence option (c) is correct.

Note: In such types of questions the key concept we have to remember is that always recall the property of line of symmetry that the line of symmetry always folds the regular polygon into two equal halves and the number of lines of symmetry is equal to the number of sides, so the regular polygon has 5 sides therefore regular polygon has 5 lines of symmetry as shown in figure which is the required answer.

Complete step-by-step answer:

A regular pentagon has 5 sides and 5 lines of symmetry. The number of lines of symmetry in a regular polygon is equal to the number of sides.

There are 5 lines of symmetry in a regular pentagon. Each one goes from a vertex to the midpoint of the opposite side.

Consider a regular pentagon ABCDE as shown in figure the line of symmetry is also shown as 1, 2, 3, 4, 5 which folds the pentagon into two equal halves.

So, the regular pentagon has 5 sides so the regular pentagon has 5 lines of symmetry which folds the pentagon into two equal halves.

So, this is the required answer.

Hence option (c) is correct.

Note: In such types of questions the key concept we have to remember is that always recall the property of line of symmetry that the line of symmetry always folds the regular polygon into two equal halves and the number of lines of symmetry is equal to the number of sides, so the regular polygon has 5 sides therefore regular polygon has 5 lines of symmetry as shown in figure which is the required answer.

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