Question

Find the plane containing the points S, X, and V. Which statement is true?

Answer 1

Let's go through the four answer choices to see which are true and which are false
------------------------------------------
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

------------------------------------------
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
------------------------------------------
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
------------------------------------------
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. 
------------------------------------------
------------------------------------------

Summary:

Choice B is the only true statement