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9 February, 05:26

Find a counterexample for the conjecture. Three coplanar lines always make a triangle

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  1. 9 February, 05:58
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    A counterexample is any example that disproves the conjecture, or the statement. In other words, we need an example that does not follow the claim that three coplanar lines always make a triangle.

    Coplanar lines are lines on the same plane. A plane is a flat, 2-d surface that extends infinitely. You can imagine a really big table.

    One counterexample is three lines on the plane that are parallel to each other. Since they won't intersect, they won't form a triangle.

    Another counterexample is two lines that are parallel and one that intersects, and it won't form a triangle because two lines are parallel.
  2. 9 February, 08:21
    0
    Draw 3 lines but 2 or more of them parallel
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