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an unproven statement that is based on observations |
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when you find a pattern in specific cases and then write a conjecture for the general case |
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specific case for when a conjecture is false |
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logical statement that has two parts, hypothesis and conclusion |
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to write the converse exchange the hypothesis and conclusion |
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to write the inverse negate both the hypothesis and conclusion |
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first write the converse and then negate both hypothesis and conclusion |
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when written in this form the "if" part contains the hypothesis and the "then" contains the conclusion |
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the if part of a conditional statement |
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the then part of a conditional statement |
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the opposite of the original statement |
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when two statements are both true or both false |
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when two lines intersect to form a right angle |
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contains the phrase "if and only if" |
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uses facts, defintions, accepted properties, and laws of logice to form a logical arguement |
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line perpendicular to a plane |
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a line is a line perpendicular to a plane if and only if the line intersects the plane in a point and is perpendicular to every line in the plane that intersects it at that point |
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logical arguement that shows a statement is true |
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numbered statements and corresponding reasons that show an arguements in a logical order |
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is a statement that can be proven |
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