No, we cannot conclude that ∆VWX is congruent to ∆ZYX based solely on the given information, more details about the relationships between angles and sides in the triangles are necessary for a conclusive comparison.
While the midpoint X divides WY, it doesn't provide enough information to ensure congruence between ∆VWX and ∆ZYX. To establish congruence, additional criteria such as side-length equality, angle equality, or side-angle-side congruence are needed. The fact that X is the midpoint only guarantees that the segment lengths WX and ZY are equal.
In conclusion, the given information about X being the midpoint of WY is insufficient to conclude congruence between ∆VWX and ∆ZYX. Further details about the relationships between angles and sides in the triangles are necessary for a conclusive comparison.