Question

Which of the following statement/s is/are correct?

• A. $1$ and $2$ Only
• B. $2$ and $3$ Only
• C. $1$ and $3$ Only
• D. $1$, $2$ and $3$

Answer 1

The correct option is A $1$ and $2$ Only

Diagonals are those line segments which joins non-adjacent vertices of the polygon.

Here, in the above figure, $AC$, $BD$, $CE$, $DA$ and $EB$
are the diagonals which are joining the non-adjacent vertices.

And $AB$, $BC$, $CD$, $DE$ and $EA$ are the edges which are joining the adjacent vertices of the polygon.

So, both statements are $1$ and $2$ are correct.

Lets us see the third statement,

Here in polygon $ABCDEFG$, diagonal $GE$ is smaller in length than some of the sides of this polygon. So, we can say that it is not compulsory for the diagonal to be greater in length than the length of sides of polygon, it can also be smaller in length than the sides.

Hence, statement $3$ is wrong.

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