Step 1: Recall what Teflon is.
Teflon is the trade name for Polytetrafluoroethylene (PTFE), a chain built only from carbon and fluorine atoms.
Step 2: Work backward to the monomer.
Since the polymer repeat unit is $-(\text{CF}_2-\text{CF}_2)-$, the monomer must be the fluorinated alkene $\text{CF}_2=\text{CF}_2$, which is tetrafluoroethylene.
Step 3: Describe the polymerisation.
Under high pressure with a persulfate radical initiator, the C=C double bonds of tetrafluoroethylene open and link into long chains: $n\,\text{CF}_2=\text{CF}_2 \rightarrow -(\text{CF}_2-\text{CF}_2)_n-$.
Step 4: Reject tetrabromoethylene.
Bromine atoms would give a bromine-containing polymer, not Teflon.
Step 5: Reject tetrachloroethylene and tetraiodoethylene.
Chlorine and iodine analogues do not yield PTFE either; only the fluorine version gives Teflon's characteristic inert, non-stick chain.
Step 6: Select.
The correct monomer is tetrafluoroethylene, option (2).
\[ \boxed{\text{Tetrafluoroethylene}} \]