ABCD is a parallelogram in which P and Q are midpoints of opposite sides AB and CD respectively (see figure). If AQ intersects DP at S and BQ intersects CP at R, show that:

PSQR is a parallelogram.

ABCD is a parallelogram in which P and Q are midpoints of opposite sides AB and CD respectively (see figure). If AQ intersects DP at S and BQ intersects CP at R, show that: (i) APCQ is a parallelogram.

ABCD is a parallelogram in which P and Q are midpoints of opposite sides AB and CD respectively (see figure). If AQ intersects DP at S and BQ intersects CP at R, show that: DPBQ is a parallelogram

ABCD is a parallelogram in which P and Q are mid-points of opposite sides AB and CD (see Fig. 8.18). If AQ intersects DP at S and BQ intersects CP at R, show that: (i) APCQ is a parallelogram. (ii) DPBQ is a parallelogram. (iii) PSQR is a parallelogram

P and Q are the mid-point of the oposite sides AB and CD of a parallelogram ABCD. AQ interects DP at S and BQ interects CP at R. Show that PQRS is a parallelogram.

ABCD is a parallelogram. E and F are mid-point of side AB and CD respectively. AF and CE intersect diagonal BD at P & Q respectively. If BD = 15 cm, find PQ.

ABCD is a parallelogram,E and F are the mid-points of AB and CD respectively.GH is any line intersecting AD, EF and BC at G,P and H respectively.Prove that GP=PH

In parallelogram ABCD,if P, Q are mid-points of BC and CD respectively, then overline(AP)+overline(AQ)=

ABCD is a parallelogram. P and R are the midpoints of DC and BC respectively. The line PR intersects the diagonal AC at Q . The distance CQ will be equal to

In a parallelogram ABCD, E and F are the mid-points of sides AB and CD respectively. Show that the line segments AF and EC trisect the diagonal BD.

ABCD is a parallelogram. Points P and Q are taken on the sides AB and AD respectively and the parallelogram PRQA is formed. If angle C= 45^@ , find angleR .