Question

In the given figure AB||DE and BC||EF. Prove that AC||DF.

Answer 1

Here you go!! Hope this helps:)

Answer 2

AB IS PARALLEL TO DE
Hence,OA/OD=OB/OE. 1(BY BPT)
BC IS PARALLEL TO EF
Hence,OC/OF=OB/OE. 2(BY BPT)
From 1&2
OC/OF=OA/OD
Hence,AC IS PARALLEL TO DF (BT CONVERSE OF BPT)