Please answer these questions specifically. We need to see you actually thinking, in order to direct your thoughts. If some triangles are similar, which ones, and why? (It helps if you use the reply button so we can tell what question you are answering.)How are CD and CT related?
How are QD and QB related?
Try thinking about triangle BQT (or CQT). Do you see that if the conclusion is true, then since TQ is parallel to AB and to CD, therefore BQT is similar to BDC? You'd like to prove that it is, starting with what you know.Yes, these triangles are similar by angle-angle-angle, DC=CT and TB=AB but I can't find any connection with TQ.
AB is perpendicular to AD because ABCD is right trapezoid, but I don't how to prove that TQ is parallel to AB or CD. I will just skip that problem, I've wasted too much time on that proof. Thank you guys