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 given figure, AC = AE, AB = AD and angle BAD = angle 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 adjacent figure, A, B and C are points on OP, OQ and OR respectively such that AB || PQ and AC||PR. Show that BC || QR.

In the given figure, if AB = 12cm. BC = 8cm and AC = 10 cm, then AD = ………cm

In the given figure, ABD is a Deltaright angled at A and AC bot BD . Show that AB^(2)= BC*BD

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 given figure, AD is a median of a DeltaABC and AM bot BC . Prove that : AB^(2)= AD^(2)-BC*DM+((BC)/(2))^(2)

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 .