In Figure, `PQRS` is a parallelogram. If `X and Y` are mid-points of `PQ and SR` respectively and diagonal `SQ` is jointed. The ratio `ar (|\ |(gm) XQRY): ar (QSR)=`

(a) 1:4
(b) 2:1
(c) 1:2
(d) 1:1

In the given figure, PQRS is a parallelogram. If X and Y are mid-point of PQ and SR respectively and diagonal SQ is joined. Find the ratio of area of (||gm XQRY) : " area "(Delta QSR)

squarePQRS is a reactangle. If A, B and C are the mid-points of PQ, PS and QR respectively, then prove that AB+AC=1/2(PR+SQ).

In the adjoining figure, PQRS is a parallelogram. A and B are the mid-points of PQ of SR respectively. If PS= BR, then prove that quadrilateral ADBC is a reactangle.

In Figure, A B C D is a parallelogram and X ,Y are the mid=points of sides A B and D C respectively. Show that A X C Y is a parallelogram. Figure

ABCD is a rectangle and E and F are the mid-points of AD and DC respectively.Then the ratio of the areas of EDF and AEFC would be (a) 1:2 (b) 1:3 (c) 1:4 (d) 2:3

Show that the line joining any vertex of a parallelogram to the mid - point of an opposite side divides the opposite diagonal in the ratio 2 : 1.

Prove that the figure formed by joining the mid-points of the pair of consecutive sides of a quadrilateral is a parallelogram. OR B A C D is a parallelogram in which P ,Q ,R and S are mid-points of the sides A B ,B C ,C D and D A respectively. A C is a diagonal. Show that : P Q|| A C and P Q=1/2A C S R || A C and S R=1/2A C P Q=S R (iv) P Q R S is a parallelogram.

A straight line through the origin o meets the parallel lines 4x+2y= 9 and 2x +y+ 6=0 points P and Q respectively. Then the point o divides the segment PQ in the ratio: : (A) 1:2 (B) 3:2 (C) 2:1 D) 4:3

If in parallelogram ABDC , the coordinate of A , B and C are respectively (1,2) , (3,4) and (2,5) , then the equation of the diagonal AD is

The mid-point of a line segment AB with A(5,6) and B(2,0) divides it in the ratio a. 1:2, (b) 2:1, (c) 1:1