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Conjectures and Counterexamples Worksheets PDF Form

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Instructions and help about what is a counterexample in geometry

in these problems we are finding counter examples if you want to prove a statement false finding a counter example a situation where the statement is not true is a great way to do that we call a statements that haven't been proved to be true yet it would call them conjectures that's a fancy word for a guess and we can prove that a conjecture is false by coming up with a counter example and that's what we're doing here let's take a look at a it says if angle 1 and angle 2 are supplementary and that means they add up to 180 degrees then one of them must be obtuse and obtuse means greater than 90 so can we think of a situation where two angles add up to 180 but neither one is greater than 90 hmm well I can think of one situation that would work for that if both the angles are 90 degrees exactly 90 plus 90 is 180 but neither these are greater than 90 so they're not obtuse so this counter example shows that this statement is false let'

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