Mathematics
In the figure, given below, 2AD = AB, P is mid-point of AB, Q is mid-point of DR and PR // BS. Prove that :
(i) AQ // BS
(ii) DS = 3RS

Related Questions
In the quadrilateral ABCD, if AB // CD, E is mid-point of side AD and F is mid-point of BC. If AB = 20 cm and EF = 16 cm, the length of side DC is :

18 cm
12 cm
24 cm
32 cm
Use the following figure to find :

(i) BC, if AB = 7.2 cm.
(ii) GE, if FE = 4 cm.
(iii) AE, if BD = 4.1 cm.
(iv) DF, if CG = 11 cm.
In triangle ABC, the medians BP and CQ are produced upto points M and N respectively such that BP = PM and CQ = QN. Prove that :
(i) M, A and N are collinear.
(ii) A is the mid-point of MN.