Which of the following is an example of psychological abuse?

The correct choice is an example of psychological abuse because it involves the intentional infliction of mental or emotional harm on another person. Destroying property can cause significant distress and anxiety for the victim, as it may be used as a tool to manipulate or instill fear. This type of abuse diminishes the victim's sense of safety and can lead to long-term psychological consequences.

In contrast, the other options represent either physical abuse or supportive behaviors. Giving an allowance does not directly relate to psychological abuse, as it can imply a level of financial control or dependency but does not inherently cause emotional harm. Physical injury clearly falls under physical abuse, and verbal encouragement is supportive and positive, which is the opposite of what constitutes psychological abuse. Thus, destroying property effectively exemplifies an action that embodies the characteristics of psychological abuse.