Question 1204564
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The statement of the problem is not sufficient to get a single answer from among the answer choices.<br>
Choice B makes no sense and so can't be a right answer; lines are infinite in length and can't be congruent.<br>
Choice C is not right.  You can certainly make BV and FG perpendicular, but that will be a very special case.<br>
Now what about choices D and E....<br>
If two lines are perpendicular to a given line and both pass through a point P not on that line, then the two lines are the same line, and they will intersect the line at the same point.<br>
And there is nothing in the statement of the problem that says BV and FG can't be the same line.<br>
So answer choices D and E are both possible in one special case, but they are not true in the general case.<br>
And answer choice A is not true in the special case where BV and FG are the same line.<br>
So, because the statement of the problem does not specify that BV and FG are not the same line, none of the conclusions A to E is possible.<br>