a. The given molecule is
The electronegativity order is
The geometry at carbon is tetrahedral, as shown here:

Polar molecule
Since the molecule has a net dipole, it is polar.
b. The given molecule is
The electronegativity order is
The geometry of carbon is tetrahedral, as shown here:

Polar molecule
The two C-Br bond dipoles are at nearly angle, and they partially cancel each other. There is still a net resultant due to them. Therefore, it is a polar molecule.
c. The given molecule is
The electronegativity order is .
The geometry is tetrahedral, as shown here:

Non-polar molecule
In the given molecule, all the four C-F bond dipoles cancel out each other and give a net dipole moment zero. Therefore, it is a non-polar molecule.
d. The structure of cis-1,2-dichloroethane is shown below:

In this molecule, the C-Cl bond dipole diverges, and the C-H bond dipole converges to generate a net dipole moment. Therefore, the molecule is polar asshown in the following structure:

Polar molecule
e. The structure of trans-1,2-dichloroethane is shown below:

In this molecule, the C-Cl bond dipole and C-H bond dipole cancel each other. Therefore, the molecule does not possess a net dipole moment and is non-polar, as shown in the following structure:

Non-polar molecule