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katrin [286]
2 years ago
13

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

Mathematics
2 answers:
alexandr1967 [171]2 years ago
8 0
The answer would be D, <span>d. ∠Z ≅ ∠X and ∠W ≅ ∠Y</span>
tigry1 [53]2 years ago
3 0

Hey there!

In order for two figures to be congruent, each named angle must correspond and be congruent to ONE other angle. If you have ZYV and XWV, Z must be congruent to X as they both show up first in the ordering.

This means...

∠Z≅∠X

∠Y≅∠W

∠V≅∠V

Our first answer option has to do with parallelism, which does not influence if certain angles are congruent or not.

For the second answer option, ∠Z is congruent to ∠X, not ∠Y, so it is incorrect.

For the third answer option, it shows that ∠Z would correspond to ∠V, but it does not, so it is also incorrect.

For D, ∠Z IS congruent to ∠X, and ∠W IS congruent to ∠Y

Therefore, our answer is D) ∠Z≅∠X and  ∠W ≅ ∠Y.

I hope this helps!

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