She . . . . . . . . her grandfather; she has blue eyes.

takes in
takes to
takes after
takes on

The correct answer is C. takes after.

To take after someone means to resemble them in appearance, character, or behavior. In this case, the woman takes after her grandfather in that they both have blue eyes.

The other options do not make sense in this context. To take in means to accept someone into one’s home or family. To take to means to develop a liking for something or someone. To take on means to accept a challenge or responsibility.