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26 December, 23:35

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

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  1. 26 December, 23:42
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    Draw 3 lines but 2 or more of them parallel
  2. 27 December, 00:04
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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.
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