Based on statement 4, we can say that the two triangles are not congruent since Side YX is shorter than side BA. We can eliminate Option 3.
Based on Statements 3 and 4, we can say that the ratio of the two corresponding sides of the triangle XYZ and ABC are not proportional.
[tex]\frac{YZ}{BC}\ne\frac{XY}{AB}[/tex]The two ratios are not equal because YZ and BC are congruent. This means YZ/BC = 1. On the other hand, since XY < BA, then XY/AB is less than 1.
Since the ratio of the corresponding sides is not equal, the two triangles are not similar as well. With this, we can eliminate Options 1 and 2.
Hence, the answer is Option 4. No relationship can be determined between Triangle YZX and Triangle BCA.