Use the diagram and given information to answer the questions and prove the statement.

given: < x = < z

xy = zy

prove: az = bx

a) re-draw the diagram of the overlapping triangles so that the two triangles are separated.
b) what additional information would be necessary to prove that the two triangles, /_\ xby and /_\ zay, are congruent? what congruency theorem would be applied?
c) prove az = bx using a flow chart proof.