Final answer:
Based on the given information, WXZ and YXZ are congruent triangles by the SAS congruence criterion.
Step-by-step explanation:
Based on the given information, both angles WXZ and YXZ are right angles as they are formed by the intersection of two perpendicular lines. Additionally, WX = YX implies that the sides adjacent to these right angles are equal in length.
This means that WXZ and YXZ are congruent triangles by the Side-Angle-Side (SAS) congruence criterion because they have a side (WX = YX in this case), an angle (the right angle), and another side (WZ = YZ) that are all equal.
Therefore, the correct answer is C) Congruent by SSS.