Question

Which must be true for the relationship AZYX ~ AWU to be correct?

a) ZY ∼ W
b) 2Y and ZW ∼ 2V
c) ZY ∼ YX and W ∼ V
d) ZX = ZU

Answer 1

The relationship AZYX ~ AWU must have ZY ∼ YX and W ∼ V to be correct.

Step-by-step explanation:

The correct answer for the relationship AZYX ~ AWU is option c) ZY ∼ YX and W ∼ V. In order for two figures to be similar, corresponding angles need to be congruent, and corresponding sides need to be proportional.

If ZY ∼ YX, it means that the corresponding sides of triangle XYZ and triangle YXW are proportional. And if W ∼ V, it means that the corresponding sides of triangle AWU and triangle WUV are proportional.

Therefore, for the relationship AZYX ~ AWU to be correct, both ZY ∼ YX and W ∼ V must be true.