# Are all diagonals of a regular pentagon congruent

## Are the diagonals of any regular polygon congruent?

In some regular polygons, the center of polygon is intersection of diagonals. … These triangles are called characteristic triangles of regular polygon. These tringles are

**congruent**. Since this is a regular polygon, all sides have equal lengths and interior angles have equal measures.## Are pentagons always congruent?

So, the sum of the interior angles of a pentagon is 540 degrees.

**All sides are the same length (congruent)**and all interior angles are the same size (congruent).## Do all pentagons have 5 congruent sides?

A regular pentagon must have

**five congruent sides**, five congruent interior angles, and congruent exterior angles: five congruent sides (sides of equal length) five congruent interior angles (each measuring 108° )## Do diagonals of a pentagon bisect each other?

If you take the meaning of bisect to mean a division into two equal halves, then a simple counterexample disproves this notion:

**none of the diagonals of a regular pentagon bisect each other**so the answer is a definite no.## What are the diagonals of a regular pentagon?

For regular pentagon number of sides =

**5**. Hence, the number of diagonals of a regular pentagon is 5, which is also visible from the above figure.## What is the difference between a pentagon and a regular pentagon?

All pentagons have five straight sides, but the sides do not have to be of equal length. A regular pentagon has five equal sides and

**five equal angles**. In basic geometry, most problems will involve regular polygons. … If the five sides of a shape are NOT connected or the shape has a curved side(s), it is NOT a pentagon.## Can a regular polygon be a pentagon?

A pentagon is a polygon with five sides and five angles and can be either

**a regular or irregular polygon**, depending on the measurements of its sides and angles.## How many diagonals does a pentagon have *?

5 diagonals

Thus, a regular pentagon has

**5 diagonals**.## How do you find the diagonal of a regular pentagon?

## How do you find the diagonals of a pentagon?

To find the total number of diagonals in a polygon,

…

Solved Examples.

**multiply the number of diagonals per vertex (n – 3) by the number of vertices, n, and divide by 2**(otherwise each diagonal is counted twice). 4.…

Solved Examples.

Polygon Name | Number of Sides | Number of Diagonals |
---|---|---|

Pentagon | 5 | 5 |

Hexagon | 6 | 9 |

Heptagon | 7 | 14 |

## How many diagonals does a regular pentagon have class 8?

Final solution: Hence, with the help of formula (A) as mentioned in the solution hint we have obtained the number of diagonals in a regular pentagon which are

**5**.## Which of the following is always a regular polygon *?

**A square**is a polygon that is always regular. By definition, a square has four equal sides, so it is equilateral.

## Which polygon is a regular polygon?

**Any polygon that is both equilateral and equiangular**is a regular polygon (e.g., equilateral triangle, square).