Question

1. In the figure,
seg PQ | side BC and
seg QR || side AB.
(1) Find AD
?
(ii) What would be
Hence find BR
(iii) Is BP _ BR
1
1
19 PARC
(iv) Derive your conclusion with reason whether seg PR || side AC
or not.​

Answer 1

Step-by-step explanation:

(i) Since PQ || BC

Hence by basic proportionality theorem,

AP = AQ = 3

BP QC 2

(ii) Again, since QR || AB

By BPT,

AQ = BR = 2

QC CR 3

Hence CR = 3

BR 2

(iii) We saw that BP = QC = CR

PA AQ BR

Hence proved

(iv) Since we proved above that BP = CR

PA BR

Hence by converse of BPT, PR || AC