`A B C D` is a rhombus, `E A B F` is a straight line such that `E A=A B=B F` . Prove that `E D` and `F C` when produced meet at right angles.

A B C D is a parallelogram. A D is a produced to E so that D E=D C and E C produced meets A B produced in Fdot Prove that B F=B Cdot

A B C D is a parallelogram. E is a point on B A such that B E=2\ E A\ a n d\ F is a point on D C such that D F=2\ F Cdot Prove that A E\ C F is a parallelogram whose area is one third of the area of parallelogram A B\ C Ddot

A B C D is a parallelogram, G is the point on A B such that A G=2G B ,E is a point of D C such that C E=2D E and F is the point of B C such that B F=2F Cdot Prove that : a r(A D E G)=a r(G B C E) a r( E G B)=1/6a r(A B C D)

If A B C\ a n d\ D E F are two triangles such that A B ,\ B C are respectively equal and parallel to D E ,\ E F , then show that Quadrilateral A B E D is a parallelogram Quadrilateral B C F E is a parallelogram A C=D F (iv) A B C\ ~=\ D E F

A B C D is a parallelogram, G is the point on A B such that A G=2\ G B ,\ E\ is a point of D C such that C E=2D E\ a n d\ F is the point of B C such that B F=2F Cdot Prove that: a r\ (\ E B G)=a r\ (\ E F C)

A B C D is a parallelogram and E is the mid-point of B C ,\ D E\ a n d\ A B when produced meet at Fdot Then A F= 3/2A B (b) 2\ A B (c) 3\ A B (c) 5/4\ A B

A B C D is a parallelogram, G is the point on A B such that A G=2\ G B ,\ E\ is a point of D C such that C E=2D E\ a n d\ F is the point of B C such that B F=2F Cdot Prove that: a r\ (\ E F C)=1/2\ a r\ (\ E B F)

A B C D is a parallelogram in which B C is produced to E such that C E=B CdotA E intersects C D\ at Fdot Prove that a r\ (\ A D F)=\ a r\ (\ E C F) If the area of \ D F B=3\ c m^2, find the area of ^(gm) ABCD

In Fig.95, If A B ,\ C D\ a n d\ E F are straight lines, then x= (a) 5 (b) 10 (c) 20 (d) 30

A B C D is a cyclic quadrilateral. A Ba n dD C are produced to meet in Edot Prove that E B C-E D Adot