[" 1.E and F are respectively the mid-points of the non-parallel sides AD and BC of a "],[" trapezium ABCD.Prove that EF "|AB" and EF = "(1)/(2)(AB+CD)" ."]

E and F are respectively the midpoints of the non-parallel sides AD and BC of a trapezium ABCD. Prove that (i) EF||AB, (ii) EF=(1)/(2) (AB+CD).

E and F are the mid points of non-parallel sides AD and BC respectively of a trapezium prove that EF||AB.

In trapezium ABCD, AB || CD and E is the midpoint of AD. A line drawn through E and parallel to AB intersects BC at F. Prove that F is the midpoint of BC and EF = (1)/(2)(AB + CD) .

ABCD is a squre. E and F are respectivley the mid-points of BC and CD. If R is the mid-points of EF. Prove that ar (AER) = ar(AFR).

In trapezium ABCD, AB || DC. E and F are points on non-parallel sides AD and BC respectively such that EF || AB. Show that (AE)/(ED) = (BF)/(FC)

In trapezium ABCD, AB || DC. E and F are points on non-parallel sides AD and BC respectively such that EF || AB. Show that (AE)/(ED) = (BF)/(FC)