Draw a line segment `C D` . Produce it to `C E` such that `C E=3C D`

D is a point on the circumcircle of A B C in which A B=A C such that B\ a n d\ D are on the opposite side of line A C . If C D is produced to a point E such that C E=B D , prove that A D=A E .

A B C D is a parallelogram in which B C is produced to E such that C E=B C. A E intersects C D\ at F . 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 ABCD.

In Figure, line segments A B is parallel to another line segment C D .O is the mid-point of A D . Show that: A O B~=\ \ D O C .

A B C D is a parallelogram. The circle through A ,Ba n dC intersects C D produced at E , prove that A E=A Ddot

A B C D is a parallelogram. The circle through A ,Ba n dC intersects C D produced at E , prove that A E=A Ddot

A B C D is a parallelogram. If A B is produced to E such that B E=A B . Prove that E D bisects B C .

In Figure, A B C D is a trapezium in which A B||D C .\ \ D C is produced to E such that C E=A B , prove that a r(triangle A B D)=a r (triangle B C E) . Construction: Draw D M\ on B A produced and B N_|_D C

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. 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

In a Delta A B C , point D is on side A B and point E is on side A C , such that B C E D is a trapezium. If D E : B C=3:5 , then Area ( A D E) : A r e a( B C E D)=