Geometry Ch 2 Reasoning and Proof
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| Conjecture | An educated guess based on known information or observing a pattern
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| Counterexample | An example used to show that a given statement is not always true
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| Hypothesis | The phrase immediately following the word if in a conditional statement.
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| Conclusion | The phrase immediately following the word then in a conditional statement
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| Law of Detachment | (1) If a student attends BBC, then the student has an ID number. (2) Joel attends BBC. (3) Joel has an ID number.
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| Law of Syllogism | (1) If a student attends BBC, then the student has an ID number. (2) If a student has an ID number, then they can check out library books. (3) If a student attends BBC, then they can check out library books.
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| Reflexive Property | AB=AB
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| Symmetric Property | If a=b, then b=a.
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| Transitive Property | If AB=CD and CD=EF, then AB =EF.
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| Substitution Property | If a=b, then a may be replaced by b in any equation or expression.
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| Distributive Property | a(b+c)=ab+ac
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| Supplement Theorem | If <1 and <2 form a linear pair, then m<1 + m<2 = 180.
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| Complement Theorem | If the noncommon sides of two adjacemt angles form a right angle, then the angles are complementary angles.
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| If m<1 + m<2 = 180 and m<2 + m<3 = 180, then <1 = <2. | Angles supplementary to the same angle or to congruent angles are congruent.
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| One Line | Through any two points, there is exactly_____
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| One Plane | Through any three points not on the same line, there is exactly _________
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| Two points | A line contains at least ________
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| Three points | A plane contains at least ___________ not on the same line.
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| One Point | If two lines intersect, then their intersection is exactly ______________
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| A Line | If two planes intersect, then their intersection is _________
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