﻿ Definition and examples diagonal line | define diagonal line - geometry -Free Math Dictionary Online

# Diagonal Line

## Definition of Diagonal Line

The line joining any two non-adjacent vertices of a polygon is called diagonal line.

### More About Diagonal Line

The number of diagonals of a polygon can be calculated using the formula d = ,
where S is the number of sides in the polygon.
The number of diagonals in a polygon with 5 sides = = 5.

## Example of Diagonal Line

In the given figure, A and C, B and D are the non-adjacent vertices.
The line joining any of these pairs of vertices is called diagonal of the figure.
So, AC and BD are the diagonals of the given figure.

### Solved Example on Diagonal Line

#### Ques: Find the number of diagonals in a regular hexagon.

##### Choices:
A. 9
B. 6
C. 12
D. 3
Correct Answer: A

### Solution:

Step 1: A regular hexagon has all of its sides and angles congruent.
Step 2: Draw the diagonals in a regular hexagon.
Step 3: 9 diagonals are formed joining the non-adjacent vertices.
Step 4: So, there are 9 diagonals in a regular hexagon.
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