Final answer:
The correct answer is A. Extended family, as it consists of a mother, her husband, his mother, and another child, including multiple generations and relatives beyond the immediate nuclear family unit.
Step-by-step explanation:
A mother's household consists of her husband, his mother, and another child. This type of household is known as an extended family. An extended family includes at least one parent and child, as well as other relatives such as grandparents, aunts, uncles, and cousins. The mentioned household includes three generations: the husband and wife, their child, and the husband's mother.
The nuclear family, on the other hand, traditionally consists of a married husband and wife and their children living in the same household. This is the smallest family structure commonly found in societies where geographic mobility is valued and is often referred to as a single-couple family.
Therefore, the correct answer to the question is:
A. Extended family