Topic: Group verb,

Best Answer Explained in Below-:

The correct answer is "D) after," as it accurately reflects the intended meaning in the provided sentences. In English, the phrase "takes after" is an idiomatic expression that means to resemble or have similar traits to someone, typically a family member.

When we say "The girl takes after her mother" and "The boy takes after his grandmother," we are indicating that both the girl and the boy share certain characteristics, features, or behaviors that are reminiscent of their respective relatives. This usage suggests a genetic or familial connection, highlighting similarities in physical appearance, personality traits, or even mannerisms.

On the other hand, the other options— "to," "with," and "up"—do not convey this specific meaning. "To" might imply direction or intent, "with" suggests companionship, and "up" can indicate an increase or continuation, but none of these accurately describe the resemblance implied by "takes after." Hence, "after" is the most appropriate choice in this context, clearly illustrating the familial connection through shared traits.