M is the mid point of side PQ of a parallelogram PQRS. A line through Q parallel to PS meets SR at N and PS produced at L. Prove that (i) PL = 2QR (ii) QL = 2QN.



Asked by Topperlearning User | 11th Aug, 2017, 11:58: AM

Expert Answer:

(i) In PLQ, M is the mid point of PQ and MS  QL
S is the mid point of PL
PL = 2PS or PL = 2QR      (ABCD is parallelogram PS = QR) 
 
(ii) ABCD is parallelogram SR  PQ or SN  PQ
In LPQ, S is the mid point of PL and SN  PQ
N is the mid point of QL
QL = 2QN 

Answered by  | 11th Aug, 2017, 01:58: PM