Question

Which must be true in order for the relationship A ZYX ~ A WU to be correct?

a. OZY || WV
b. OZZ = XY and ZW = 2V
c. OZY = YX and W = VU
d. OZZ = 2W and ZX = ZU

Answer 1

The condition that must be true for the relationship A ZYX ~ A WU to be correct is that c) OZY = YX and W = VU.

Step-by-step explanation:

To determine which condition must be true for the relationship A ZYX ~ A WU to be correct, we need to analyze the given options.

According to the given options, the correct condition is c. OZY = YX and W = VU. In order for the tilde (∼) to represent a correct relationship, the corresponding elements of the letter sets on both sides of the tilde must be equal.

Therefore, for A ZYX ~ A WU to be correct, the corresponding elements OZY and YX must be equal, and the corresponding elements W and VU must be equal. Option c fulfills these conditions, so it must be true for the relationship to be correct.