Can different types of properties be entangled with each other? Say, the spin of particle A with the polarization of particle B? Does this question make sense?  Can measuring the spin of one entangled particle 'determine' the polarization of the other?
 A: When two particles become entangled, the whole new system will have a common wavefunction that will describe the whole system. This system in your case will have both particles, so this wavefunction will describe both their characteristics, and not just their spins, but all of their characteristics.
So yes, if they are entangled, measuring particle A's spin will have an effect on the measurement on particle B's polarization.
It is not the spin of the particles that is entangled, but it is the whole system of the particles that is entangled, and that includes all the particles' characteristics.
If you entangle two electrons, and put them in a singlet state (spins entangled), and then let one of the electrons through a Stern-Gerlach magnet, this will determine the particle's position depending on its spin. So now one electron's spin is entangled with the other one's position.
You can view this as if any property of one particle with the other's could be entangled, but like I wrote, the whole system is already entangled, all you do is select certain measurements in certain experiments. 
Please see here:
Is it only the spin of a particle that can be entangled with another particles spin?
