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

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

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

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

D is a point on side BC ΔABC such that AD = AC (see figure). Show that AB > AD.

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

If E, F G and H are respectively the midpoints of the sides AB, BC, CD and AD of a parallelogram ABCD, show that ar(EFGH) =1/2 ar (ABCD) .

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

ABC is a right triangle right angled at A. BCED, ACFG and ABMN are squares on the sides BC, CA and AB espectively. Line segments AX bot DE meets BC at Y. and DE at X. Join AD, AE also BF and CM (See the figure). Show that (i) DeltaMBC ~=DeltaABD

ABCD is a parallelogram AP and CQ are perpendiculars drawn from vertices A and C on diagonal BD (see figure)..Show that : i) DeltaAPB = DeltaCQD .

In Delta^s ABC and DEF, DE and AB || DE , BC=EF and BC || EF . Vertices A, B and C are joined to vertices D, E and F respectively (see figure). Show that : /_\ABC ~= /_\DEF