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

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.

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

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) .

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.

AB and CD are respectively arcs to two concentric circles of radii 21cm and 7cm with centre O ( See figure), If /_AOB=30^(@) , find the area of the shaded region. (usepi=(22)/(7))

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