Final answer:
Healthy skin should not be rigid; this is a sign that it may not be healthy. Characteristics of healthy skin include being soft, slightly moist, and having a fine-grained texture.
Step-by-step explanation:
The characteristic that is NOT associated with healthy skin is rigid. Healthy skin is generally soft, slightly moist, and fine-grained in texture. Rigid skin could indicate dehydration or other health issues and it is not representative of a healthy state.
The skin is a vital part of the Integumentary System which undergoes various changes as a person ages, including decreased mitosis, reduced blood circulation, and loss of elasticity and resilience, leading ultimately to thinner and less supple skin.