 Hello and welcome to the session. In this session we will discuss a question which says that drawn up a polygon having vertices pi 4 minus 1 4 1 minus 2 and minus pi minus 2. Now before starting the solution of this question we should know our result. And that is in a coordinate plane in the first coordinate both x and y coordinates are positive. In the second coordinate x coordinate is negative whereas y coordinate is positive. In the third coordinate both x and y coordinates are negative and in the fourth coordinate is positive whereas y coordinate is negative. Now this result will work out as a key idea for solving out the given question. Now let us start with the solution of the given question. Now where we have to draw a polygon having these vertices. So let us plot these lines on the graph. So here let us take a coordinate plane where the horizontal axis is x axis, vertical is y axis. Now let us plot these four ordered pairs by using the result given in the key idea. Firstly we have to plot the other pair 5 forward. Both x and y coordinates are positive. It means this point will lie in the first coordinate. So for plotting this point we will start from 0 and move 5 units to the right of 0 since the x coordinate is 5 and then we have 4 units upwards as the y coordinate is 4 and this is the point whose coordinates are 5 4. Then we have to plot the point minus 1 4. Now here the x coordinate is negative, y coordinate is positive. This means that this point will lie in the second coordinate. So we will start from 0 and we will move for 1 unit to the left of 0 as x coordinate is minus 1 and then we will move 4 units upwards and we will reach at this point which is the point with coordinates minus 1 4. Now the next point that we have to plot is 1 minus 2. Now here the x coordinate is positive, y coordinate is negative. So it will lie in the fourth coordinate. So here this is the point whose coordinates are 1 minus 2. Now the next point that we have to plot is minus 5 minus 2 and here both x and y coordinates are negative which means it will lie in the third coordinate. Now here this is the point whose x coordinate is minus 5 and y coordinate is minus 2. Now we will label these points as p, q. Here p represents the point minus 1 4, q represents the point minus 5 minus 2, r represents the point 1 minus 2 and s represents the point 5 4. Now join the points consecutively that is p q s p is a four sided polygon which means it is a quadrilateral. And from the figure we can see the full world of the parallelogram p, q, r, s. So the given polygon is a parallelogram. This was the solution of the given question and that's all for this session. Hope you all have enjoyed the session.