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Number of Points Equidistant from Lines

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January 11, 2009
geometrygeometric transformationreflection

Problem Statement

Line l2 l_2 intersects line l1 l_1 and line l3 l_3 is parallel to l1 l_1. The three lines are distinct and lie in a plane. The number of points equidistant from all three lines is: <spanclass=′latex−bold′>(A)</span> 0<spanclass=′latex−bold′>(B)</span> 1<spanclass=′latex−bold′>(C)</span> 2<spanclass=′latex−bold′>(D)</span> 4<spanclass=′latex−bold′>(E)</span> 8 <span class='latex-bold'>(A)</span>\ 0 \qquad <span class='latex-bold'>(B)</span>\ 1 \qquad <span class='latex-bold'>(C)</span>\ 2 \qquad <span class='latex-bold'>(D)</span>\ 4 \qquad <span class='latex-bold'>(E)</span>\ 8
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