How many lines of symmetries are there in regular pentagon?a)3b)5c)2d)...
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.
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How many lines of symmetries are there in regular pentagon?a)3b)5c)2d)...
Regular pentagon has 5 sides so when we try to draw symmetrical lines, all the five lines join to the other five lines, therefore the answer is five lines of symmetryIf you like my answer then please don't forget to upvote me....
How many lines of symmetries are there in regular pentagon?a)3b)5c)2d)...
The correct answer is option 'B' - there are 5 lines of symmetry in a regular pentagon.
A regular pentagon is a polygon with 5 equal sides and 5 equal angles. To understand the lines of symmetry in a regular pentagon, let's break down the concept into smaller parts.
Symmetry:
Symmetry refers to a balanced arrangement of parts on either side of a line or a point. In other words, if we fold an object along a line of symmetry, the two halves will match exactly.
Lines of Symmetry:
Lines of symmetry are imaginary lines that divide an object into two identical halves. These lines can be vertical, horizontal, or diagonal.
Regular Pentagon:
A regular pentagon is a 5-sided polygon where all sides and angles are equal. Each angle in a regular pentagon measures 108 degrees, and the sum of all angles is 540 degrees.
Lines of Symmetry in a Regular Pentagon:
In a regular pentagon, there are 5 lines of symmetry. Let's analyze them:
1. Vertical Line of Symmetry:
- A vertical line passing through the center of the pentagon divides it into two equal halves that are mirror images of each other.
- This line of symmetry passes through two opposite vertices of the pentagon.
2. Horizontal Line of Symmetry:
- A horizontal line passing through the center of the pentagon also divides it into two equal halves.
- This line of symmetry is perpendicular to the vertical line of symmetry and passes through two opposite sides of the pentagon.
3. Diagonal Line of Symmetry:
- There are three diagonal lines of symmetry in a regular pentagon.
- Each diagonal line passes through the center of the pentagon and connects two non-adjacent vertices.
- These lines divide the pentagon into two equal halves, with each half being a mirror image of the other.
Therefore, a regular pentagon has a total of 5 lines of symmetry - 1 vertical line, 1 horizontal line, and 3 diagonal lines.
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