`square ABCD` is a parallelogram point E is on side BC. Line DE intersects ray AB in point `T`. Prove that `DExxBE=CExxTE`.

squareABCD is a parallelogram. Point E is on side BC . Line DE intersects ray AB in point T . Prove that DExxBE=CExxTE .

square ABCD is a parallelogram. Point E is on side BC. Line DE intersects Ray AB in point T. Prove that DE xx BE=CE xx TE .

squareABCD is a parallelogram. Point E is on side BC , line DE intersects Ray AB in point . T Prove that : DExxBE=CExxTE .

ABCD is a parallelogram and E is a point, on BC. If the diagonal BD intersects AE at F, prove that AFxxFBxxEFxxFD .

ABCD is a parallelogram. E is the middle point of the side CD. BE intersects AC at the point X. prove that AX=2/3AC .

square ABCD is a parallelogram.Side BC intersects circle at point P.Prove that DC=DP

ABCD is a parallelogram E is mid-point of AB and DE bisects angle D. Prove that CE bisects angle C

ABCD is a parallelogram E is mid-point of AB and DE bisects angle D. Prove that BC= BE

ABCD is a parallelogram E is mid-point of AB and DE bisects angle D. Prove that angleDEC= 90^(@)

In the given figure, ABCD is a parallelogram and E is the midpoint of side BC. If DE and AB when produced meet at F, prove that AF = 2AB.