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555-605 (Medium)|   Geometry|      
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Bunuel
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In the figure above, L3 is parallel to L4 . If L5 (not shown) is anoth 01 Aug 2017, 04:56
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C
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25% (medium)

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70% (00:57) correct 30% (00:52) wrong based on 66 sessions

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In the figure above, L3 is parallel to L4. If L5 (not shown) is another line in the same plane as L1, L2, L3, L4, what is the least number of points at which L5 can intersect these four lines?

(A) None
(B) One
(C) Two
(D) Three
(E) Four

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C
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mehrotrayashraj
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In the figure above, L3 is parallel to L4 . If L5 (not shown) is anoth 01 Aug 2017, 08:15
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Is it none?
L5 cannot intersect L3 and L4 anyway
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wodan
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In the figure above, L3 is parallel to L4 . If L5 (not shown) is anoth 01 Aug 2017, 08:21
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I think the answer is C (two). L5's first intersection is with L4 (if we imagine L5 coming from bottom right towards upper left), the second intersection is when L5 goes through intersection of L1, L2, and L3 and continues going up-left.
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In the figure above, L3 is parallel to L4 . If L5 (not shown) is anoth 12 Jan 2022, 02:24
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A LINE is extendable on both sides whereas a LINE SEGMENT is not.

Since, all of them are lines which means all are extendable on both sides.

Lines L3 and L4 are parallel and L1 and L2 are not.

For the least number of points at which L5 can intersect these four lines, line L5 can avoid intersecting with lines L3 and L4 by being parallel to them. It cannot avoid intersecting with lines L1 and L2 in any case.

Therefore, the least number of points at which L5 can intersect these four lines is TWO (C)
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