In the adjacent figure, we have `BX = 1/2 AB, BY = 1/2 BC` and AB=BC. Show that BX = BY.

In the adjacent figure, AC = AE, AB = AD and /_ BAD = /_ EAC . Show that BC = DE.

In the figure, AC = AE, AB = AD and BAD = EAC. Show that BC = DE

In the adjacent figure, AB = BC and AC = CD . Prove that : /_ BAD : /_ ADB = 3 : 1.

In the adjacent figure, we have AC = XD, C and D are mid points of AB and XY respectively. Show that AB = XY.

In the given figure, XY || BC , then (AX)/(BX)

In given figure, AC=AE, AB=AD and angleBAD = angleEAC . Show that BC = DE.

ABCD is a trapezium in which AB abs CD and AD = BC. Show that A=B

ABCD is a trapezium in which AB abs CD and AD = BC. Show that C=D

In the adjacent figure DeltaABC, D is the midpoint of BC. DE_|_AB, DF_|_AC and DE = DF . Show that DeltaBED ~= Delta CFD .

In the adjacent figure ABCD is a parallelogram and E is the midpoint of the side BC. If DE and AB are produced to meet at F, show that AF = 2AB .