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Lawson Geo Ch 2

Geometry Ch 2 Reasoning and Proof

QuestionAnswer
Conjecture An educated guess based on known information or observing a pattern
Counterexample An example used to show that a given statement is not always true
Hypothesis The phrase immediately following the word if in a conditional statement.
Conclusion The phrase immediately following the word then in a conditional statement
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.
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.
Reflexive Property AB=AB
Symmetric Property If a=b, then b=a.
Transitive Property If AB=CD and CD=EF, then AB =EF.
Substitution Property If a=b, then a may be replaced by b in any equation or expression.
Distributive Property a(b+c)=ab+ac
Supplement Theorem If <1 and <2 form a linear pair, then m<1 + m<2 = 180.
Complement Theorem If the noncommon sides of two adjacemt angles form a right angle, then the angles are complementary angles.
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.
One Line Through any two points, there is exactly_____
One Plane Through any three points not on the same line, there is exactly _________
Two points A line contains at least ________
Three points A plane contains at least ___________ not on the same line.
One Point If two lines intersect, then their intersection is exactly ______________
A Line If two planes intersect, then their intersection is _________
Created by: ang2lawson
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