Decide whether enough information is given to prove that the triangles are congruent using the ASA Congruence Theorem. If so, write a proof. If not, explain why. △WXZ, △YZX
A: yes; It is given that WZ||YX. ∠WXZ is supplementary to ∠ZWX and ∠WZX is supplementary to ∠XYZ by the Consecutive Interior Angles Theorem. Also, ZX≅ZX by the Reflexive Property of Congruence. So, △WXZ≅△YZX by the ASA Congruence Theorem.

B: yes; It is given that WZ||YX. ∠WXZ≅∠YZX and ∠WZX≅∠YXZ by the Alternate Interior Angles Theorem. Also, ZX≅XZ by the Reflexive Property of Congruence. So, △WXZ≅△YZX by the ASA Congruence Theorem.

C: no; there is only enough information to conclude that one pair of angles and one pair of sides are congruent. So, ASA does not apply in this case.

D: no; The information given applies to two angles and a non-included side. So, ASA does not apply in this case.