Answer:
Denial.
Step-by-step explanation:
Denial refers to a defense mechanism in which an individual while facing a problem or reality avoids the situation by denying the existence of that problem or reality. Denial psychology is based on the understanding of denial as a coping mechanism and the way it affects our confrontation with the problem. As per the question, the family member uses denial as a coping mechanism in order to face reality which is death in this situation.