Final answer:
The projective technique described in the question is called the construction technique.
Step-by-step explanation:
The projective technique described in the question, in which the respondent is required to construct a response in the form of a story, dialogue, or description, is called the construction technique. This technique is often used in projective tests, such as the Thematic Apperception Test (TAT) or the Rotter Incomplete Sentence Blank (RISB), to gain insight into a person's social world and uncover their hopes, fears, interests, and goals.