Let's go through the four answer choices to see which are true and which are false
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Choice A)
Point Y is noncoplanar with points S, X, and V
This claim is false. Point S, X and V are all in the pink horizontal plane. So is point Y. So Y is coplanar with the other three points mentioned. Being coplanar is the complete opposite of noncoplanar
We can rule out choice A since it is false
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Choice B)
Point U is coplanar with points S, X, and V
This claim is true. Point U is in the pink plane alone with S, X and V
So far it looks like choice B is the answer. Let's check the others just to be sure
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Choice C)
Point Z is coplanar with points S, X, and V
False. Point Z is above the pink plane and is instead in the gold plane. If it said that Z is noncoplanar with S, X, and V, then the statement would be true.
We can rule out choice C
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Choice D)
Point C is coplanar with points S, X, and V
Similar to choice C, we can rule out choice D as point C is not in the pink plane either.
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Summary:
Choice B is the only true statement
