Final answer:
The option that could potentially indicate abuse is 'd. His mother admits to his teacher that Gary is often bad and is a problem or neglect', as this could suggest negative interactions that might be abusive. This option should be taken seriously and may require additional investigation to ensure the child's safety.
Step-by-step explanation:
When assessing potential signs of child abuse, it's important to recognize behaviors or statements that could be indicators of such abuse. In the options given, the one that might give Gary's teacher reason to believe that abuse could be occurring is 'd. His mother admits to his teacher that Gary is often bad and is a problem or neglect'. This admission could hint at possible negative attitudes and interactions between Gary and his mother, which may lead to different forms of abuse, including emotional or psychological harm.
It is crucial to note that abuse does not always manifest through physical signs; it can also be verbal or emotional. Teachers are often trained to notice changes in behavior, academic performance, or alarming statements made by either a parent or the child as potential indicators of abuse. However, this does not necessarily confirm that abuse is happening, but it could warrant further attention and perhaps the involvement of professional services to ensure Gary's well-being.
Instances such as a mother hugging her child, talking about her care for him, or inquiring about extra educational support generally would not raise concerns regarding abuse; these are signs of positive parental engagement and support. Therefore, those options are not red flags for abuse and indicate a healthy parent-child relationship.