Similarity, congruence, and proofs of theorems pertaining to triangles

You may construct your own figure below.
1. Which point in the construction can you move?[br]2. How are the point X, Y, and Z related to triangle ABC?[br]3. Come up with at least 2 conjunctures related to the given construction and then recreate the construction, and prove your conjecture.
– Elizabeth Ayisi

Information: Similarity, congruence, and proofs of theorems pertaining to triangles