[" What is and Pare respectively the mid-points of the non-parallel sides "AD" and "BC" of a "],[" then werium ABCD,Prove that EP "MAB" 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.

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) .

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) .

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) .

P, Q , R and S are respectively the mid-points of the sides AB, BC, CD and DA of a quadrilateral ABCD in which AC = BD. Prove that PQRS is a rhombus.

P, Q , R and S are respectively the mid-points of the sides AB, BC, CD and DA of a quadrilateral ABCD in which AC = BD. Prove that PQRS is a rhombus.

P,Q,R and S are respectively the mid points of the sides AB,BC,CD and DA of a quadrilateral ABCD such that ACbotBD . Prove that PQRs is a rectangle.

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 || 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) .