Geometry

Eight points A, B, C, D, E, F, G, and H are distributed in a plane. Exactly five of the points are on line L sub1, exactly three are on line L sub2, and exaactly three are on line L sub3. Are the three lines concurrent? Justify answer.


There are eight points...

three define L1
five define L2
three define L3



L3 has two points on either L2 or L1, making it concurrent with that line. The other point on L3 is on the other line, but since there is no evidence of another point, it is not concurent with the other line.

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