 Hello and how are you all today? The question says in figure 9.31 A, B, C, D, D, C, F, E and A, B, F, E are parallelograms. Show that area of triangle A, D, E is equal to area of B, C, F. Now this is the figure which we need to refer here. A, B, C, D, D, C, F, E and A, B, F, E are given to us as parallelograms. We are given A, B, C, D, D, C, F, E and A, B, F, E all are parallelograms. Right and one of the properties of parallelogram will help us in proving that area of A, D, E is equal to area of B, C, F. Let us continue with our proof. Now here we are given A, B, C, D is a parallelogram, D, C, F, E is a parallelogram and A, B, F, E is a parallelogram. So we can conclude that since A, B, C, D is a parallelogram, we can say that A, D is equal to B, C. Therefore A, D is equal to B, C because opposite side of a parallelogram are equal and parallel to each other. Similarly here D, C, F, E is a parallelogram. So we can say that D, E is equal to C, F and here we can say that A, E is equal to B, F. And giving the reason for all because opposite sides of a parallelogram are equal and parallel to each other. Right? Now in triangle A, D, E and B, C, F triangle A, D, E and B, C, F these two triangles which are shared we are talking about. We know that A, D is equal to B, C we have proved above. Similarly D, E is equal to C, F and E is equal to B, F. This is all we have proved above. Right? So we can say that therefore triangle A, D, E is congruent to triangle B, C, F by S, S, S congruence criterion. Also we can say that area of A, D, E will be equal to area of B, C, F because two congruent triangles or any two congruent figures have equal areas. Right? So this completes my session. Hope you enjoy it and have a very nice day. Bye for now.