In the adjoining figure ABCD is a parallelogram in which p is the midpoint of DC and q is a point on ac such that CQ =1/4 AC Also PQ when produced meet BC at R Prove that R is the midpoint of BC

In the adjoining figure ABCD is a parallelogram in which p is the midp

1.	In the adjoining figure ABCD is a parallelogram in which p is the midpoint of DC and q is a point on ac such that CQ =1/4 AC Also PQ when produced meet BC at R Prove that R is the midpoint of BC
Answer» hi mateplease mark me as brainliestStep-by-step explanation:answrsearchWhat would you like to ask?MATHSavatarAsked on December 26, 2019 byShivu JawaidA parallelogram ABCD has P the mid- point of DC and Q intersects AC such that CQ= 41 AC. PQ produced meets BC at R prove that :(a) R is the mid-point of BC(b) PR= 21 DBShareStudy laterANSWERGiven ABCD is a parallelogram and P is midpoint of DC also, CQ= 41 ACTO Prove : R is mid point of BCProof : NowOC= 21 AC (DIAGONALS of parallelogram bisect each other) ...(i)and CD= 41 AC ...(II)From (i) and (ii)CD= 21 OCIn ΔDCO P and Q are midpoint of DC and OC Respectively∴PQ∥DOAlso in ΔCOB Q is midpoint of OC and PQ∥DB∴R is midpoint of BC∴ in ΔABCPR∥DBCDCP = CBCR = BDPR DBPR = 21 ∴PR= 21 DB