Two sides AB, BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of `trianglePQR` (see figure). Show that: `triangleABC~=trianglePQR`

Two sides AB, BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of DeltaPQR (See figure). Show that: (i) DeltaABM ~= DeltaPQN (ii) DeltaABC ~= DeltaPQR

E and F are respectively the mid-points of equal sides AB and AC of DeltaABC (see figure) Show that BF = CE.

AB and CD are respectively the small est and longest sides of a quadrilateral ABCD (see figure). Show that angleAgtangleC and angleBgtangleD .

triangleABC and triangleDBC are two isosceles triangles on the same base BC (see figure). Show that angelABD = angelACD .

In the given figure, AB "||"Dc and AD "||"BC Show that triangle ABC ~= triangle CDA

AB and CD are respectively the small est and longest sides of a quadrilateral ABCD (see adjacent figure).Show that /_Agt/_C /_Bgt/_D .

In triangleABC , AD the perpendicular bisector of BC (see given figure). Show that triangleABC is an isosceles triangle in which AB=AC.

If the mid points of the sides BC, CA and AB of a triangle ABC are respectively (2,1) (-01,-2)and (3,3) then the equation of the side BC is

AB and CD are respectively the smallest and longest sides of aquadrilateral ABCD (see adjacent figure). Show that /_A > /_C and /_ B > /_ D.