Which must be true in order for the relationship △ZYV∼△XWV to be correct?

A. ZY∥WX

B. ∠Z≅∠Y and ∠W≅∠X

C. ZV≅VY and WV≅VX

D. ∠Z≅∠X and ∠W≅∠Y

Answer

A. ZY∥WX

Explanation

For two triangles to be similar (△ZYV∼△XWV), the corresponding sides must be proportional, and the corresponding angles must be congruent. In this case, the condition that must be true is ZY∥WX (option A), meaning the two sides ZY and WX must be parallel. This ensures that the angles between the sides in both triangles are congruent, fulfilling the similarity condition.