Final answer:
The nurse is demonstrating interpersonal skills by establishing trust and effectively communicating with the patient before administering injections.
Step-by-step explanation:
The nurse who establishes trust and talks with a school-aged patient before administering injections is demonstrating interpersonal skills. This type of skill is essential in healthcare settings to ensure that patients feel comfortable and understood. By communicating effectively and showing empathy, nurses can build a rapport with patients, which helps alleviate anxiety and can lead to improved patient outcomes.