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