Bunuel
If each of the two lines p and q are parallel to line r , which of the following MUST be correct?
I. Lines p, q and r lie in the same plane.
II. Lines p and q are parallel to one another.
III. Line p is the same as line q.
(A) Only I
(B) Only II
(C) Only III
(D) Only I and II
(E) Only II and III
each of the two lines p and q are parallel to line r
I. Lines p, q and r lie in the same plane.
NOT NECESSARILY TRUE because p and r may be in one plane and q and r may be in other planeII. Lines p and q are parallel to one another.
MUST BE TRUE because p and r may be in one plane and q and r may be in other plane but a plane that concsists of p and q will make two lines parallel to each otherIII. Line p is the same as line q.
NOT NECESSARILY TRUE because p and r may be in one plane and q and r may be in other plane and p and q may not be overlapping linesAnswer: Option B
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