Suppose we define a relation ~ on R2 by stating that (a,b)~(c,d), if and only if a2 + b2 ≤ c2 + d2. Which of the following statements is true?

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Suppose we define a relation ~ on R<sup>2</sup> by stating that (a,b)~(c,d), if and only if a<sup>2 </sup>+ b<sup>2</sup> ≤ c<sup>2</sup> + d<sup>2</sup>. Which of the following statements is true?