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The reasoning we use to arrive at an educated guess, or conjecture |
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If you come up with an illustration to show the conjecture is false |
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"If" part is the hypothesis and the "then" part is the conclusion. |
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a conditional you switch the hypothesis and the conclusion(flip it) |
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change a statement to its opposite |
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to make the statement not true (adding not) |
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coming up with the logical conclusion based on the true statements |
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If a conditional and its conditional and its converse is true, then the statement can be combined. |
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segments, PQ=PQ angles m<1=m<1 |
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segment, HG=JK and JK=LM then GH=LM and angles m a = m b and m b = m c |
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a=b then a maybe replaced by b in any equation expression |
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addition and Subtraction property |
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if a=b then a+b=b+c and a-c=b-c |
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multiplication and division property |
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if a=b then a(c)=b(c) and a/c=b/c |
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Congruent segments / angles |
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angles across from each other and are congruent |
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2 or more angles that add up to 90 degrees |
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2 or more angles that add up to 180 degrees |
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vertical angle therom card1 |
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If 2 angles are supplementary of the same angle, then the 2 angles are congruent |
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vertical angle therom card2 |
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If 2 angles are complements of the same angle, then 2 angles are congruent. |
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vertical angle therom card3 |
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All right angles are congruent |
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vertical angle therom card4 |
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If 2 angles are congruent and supplementary, then each is a right angle |
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