Drew thinks she is boring and unattractive, that she will never change, and therefore that she will always be single. Drew's cognitions are MOST consistent with the theory of depression. a

helplessness theory of depression

Explanation:

Helplessness theory of depression highlights the helpless situation in the life of any individual that brings the individual fall into overthinking and depression. The situation of helplessness arrives when the individua finds no way of escaping from a situation or even an escape to such situations bring no effective change in the lives of the individuals. The helpless situation also arises because of continuous exposure of the individual to harsh and uncontrollable situations.  

In the given excerpt, Drew's perception and reason of being single has attacked her thoughts. Because of overthinking and lack of escape has led her become helpless.

d. i assume the underlined word is "role." reformat if it isn't.

explanation:

role is closest to part because when replacing words, "playing a vital decision," "playing a vital activity," and "playing a vital dollar" don't make logical sense. the only meaningful choice is "playing a vital part."

this fits one of merriam-webster's definitions of role: "a function or part performed especially in a particular operation or process."