The points A (-a, -a), B (a, -a), C (-a, a), D (a, a) form a polygon. Where does the origin lie?
A)On the vertex of the polygon.
B)On the side of the polygon.
C)Outside the polygon.
D)At the point of intersection of the diagonals

HINT: -

In this type of question, we have to first make the figure of this question by plotting the coordinates of the corner points of the given polygon that are points A, B, C and D.

For plotting of the figure, we must use a graph sheet as it will give a clearer picture of the polygon and then answering the question would become very easy.

Complete step-by-step answer:

As mentioned in the question, we have to find where the origin is located.

Now, on plotting the figure on a graph paper, we will get the following figure



Now, on observing the figure closely, we can see that the origin lie at the point of intersection of its diagonals.


NOTE: -
In such questions, making the figure first is very crucial as in such questions, visualizing the figure becomes very tough sometimes and the students can make an error in such situations.
Also, in this particular question, it is easy to get to the right answer because the coordinates of the corner points of the polygon are symmetric in nature.