Step 1: Identify hybridization of carbon in vinyl bromide.
Vinyl bromide is CH\(_2\)=CH–Br.
Carbon attached to bromine is sp\(^2\) hybridized. Step 2: Identify orbital of bromine.
Bromine forms bond using its 4p orbital. Step 3: Determine type of overlap.
Sigma bond is formed by overlap of sp\(^2\) orbital of carbon and 4p orbital of bromine. Step 4: Conclusion.
Correct overlap is sp\(^2\) – 4p\(_z\).