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 smallest and longest sides of a quadrilateral ABCD. Show that angleA lt angleC and angleB gt angleD .

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.

IF P,Q,R and S are respectively the mid-points of the sides of a parallelogram ABCD show are (PQRS) = 1/2 ar (ABCD)

If E,F, G and H are respectively the mid-points of the sides of a parallelogram ABCD, show that ar (EFGH) = (1)/(2) ar (ABCD)

In the adjacent figure, find the value of x, y, z and a, b, c.

In the adjacent figure AB || CD. Find the value of x, y and z.

In the adjacent figure AB || CD, CD || EF and y : z = 3 : 7, find x.

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 (ii) AP = CQ

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