Two lines skew to the same line are skew to each other
always
sometimes
never

Question

Two lines skew to the same line are skew to each other
always
sometimes
never

anonymous · Answer

The other answers are wrong btw.

amistre64 · Answer

since there is no condition placed on the two lines with repect to each other, than any condition could apply to them as a set

anonymous · Answer

@Romero how?

directrix · Answer

sometimes
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Get three pens. Let two have the same barrel color (say white) and the third a different color (say gray). Hold the gray pen in your hand. Take a white pen and hold it directly above the gray pen so that it is not parallel to the gray pen but is skew to it. Holding those two pens steady, take the third pen (white) and hold it so that it is parallel to the first white pen. The white pens are parallel to each other but both white pens are skew to the gray one.

Next, hold the gray pen. Position a white pen so that it is skew to the gray one. Then, take the third pen (white) and position it so that it is skew to the first white pen. In this situation, both white pens are skew to the gray one and also skew to each other.

Hence, the answer to the question is sometimes.