Question

How many diagonals are present in the given polygon?

• A. $4$
• B. $3$
• C. $1$
• D. $2$

Answer 1

The correct option is D $2$

We know diagonal of a polygon can be defined as the line segment joining two non-adjacent vertices of the polygon.
For Example-

In the given polygon above which is a square, we see that $A$ and $C$ are two non-adjacent vertices of square and when these vertices are joined to each other the line segment so formed is DIAGONAL so here $AC$ is diagonal.

Now, similarly, in the polygon given in the question,
There are two pairs of non-adjacent vertices

• $A\&C$
• $B\&D$

So formed diagonals will be $AC$ and $BD$. Hence, there are $2$ diagonals in the polygon.

• $AC$
• $BD$

So, option $\left(d\right)$ correct.