Final answer:
The appropriate possessive adjective for the sentence is "tu," which translates to "your" in English, indicating that the family being referred to belongs to the person being spoken to.
Step-by-step explanation:
The correct possessive adjective to fill in the blank for the sentence "(Your, fam)____ familia es muy simpática" is "tu". This is because the student is addressing someone directly and talking about their family in a singular form, which in Spanish would require the singular possessive adjective that matches the second person.
For example, in English, we use "your" to indicate possession, as in "Your family is very nice." In Spanish, possessive adjectives agree with the number and sometimes gender of the noun they modify. In this case, the noun "familia" is feminine and singular, therefore, the correct possessive adjective is "tu" which means "your" in the singular form. The complete sentence would be: "Tu familia es muy simpática."
Other examples of using possessive adjectives in Spanish include "mi libro" (my book), "tu hermano" (your brother), "su casa" (his/her/your formal home), and "nuestro profesor" (our teacher).