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Definition
educated guess based on known information
* State anything that is (mathematically) true according to the given information (satisfies info) |
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| reasoning that uses specific examples to arrive at a conjecture |
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| example that disproves a conjecture (proves a conjecture false) |
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| the truth or falsity of a statement (whether it's true or false) |
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| any sentence that is either true or false, but not both |
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Definition
opposite meaning of original statement
just add "not"
don't change wording!
represented as ~ |
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Definition
| two or more statements joined together |
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Definition
a compound statement formed by joining two or more statements with the word and
"and" is represented as "^"
only true if BOTH parts of the statement are true |
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Definition
a compound statement formed by joining two or more statements with the word "or"
represented as "v"
is true if at least ONE of the parts is true |
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Definition
a statement written in the form "If...then.."
AKA Conditional Statement |
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Term
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Definition
| statement following "If" in an "If...Then.." Statement |
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Definition
| phrase following "then" in an "If..Then.." Statement |
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Definition
| exchange hypothesis and conclusion |
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Definition
| negate the hypothesis and conclusion |
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Definition
| switch hypothesis and conclusion, then negate both |
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Definition
| uses laws (rules) to make a conclusion (not a guess) |
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Term
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Definition
If p --> q is true.
If p is true,
then q is true. |
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Term
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Definition
3 Conditional Statements
If p --> q is true
If q --> r is true
Then p --> r is true |
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Term
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Definition
| a statement that describes a fundamental relationship between the basic terms of geometry (accepted as true) |
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Term
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Definition
| a statement that is proven true, can be used as a postulate to justify other statements |
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Definition
| a logical argument in which each statement you make is supported by a statement that is accepted true |
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Term
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Definition
AKA informal proof
a paragraph written to explain why a conjecture for a given situation is true |
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Term
| Five Essential Parts to a Good Proof |
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Definition
1. State the theorem or conjecture to be proven.
2. List the given information.
3. If possible, draw a diagram to illustrate the given info.
4. State what is to be proved.
5. Develop a system of deductive reasoning. |
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Term
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Definition
| If M is the midpoint of Line Segment AB, then AB = MB |
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Term
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Definition
| Through any two points, there is exactly one line. |
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Term
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Definition
| Through any three points not on the same line, there is exactly one plane |
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Definition
| A line contains at least two points. |
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| two points lie on line, entire line on plane |
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Definition
| If two points lie in a plane, then the entire line containing those points lies in that plane. |
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| two lines intersect @ one point |
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Definition
| If two lines intersect, then their intersection is exactly one point. |
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| two planes intersect @ a line |
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Definition
| If two planes intersect, then their intersection is a line. |
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Term
| perpendicular lines and their angles |
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Definition
| Perpendicular lines intersect to form four right angles. |
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| right angles and their measures |
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Definition
| All right angles are congruent. |
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| perpendicular lines and their angles, in comparison to each other |
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Definition
| Perpendicular lines form congruent adjacent angles. |
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| congruent supplementary angles and their measures |
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Definition
| If two angles are congruent and supplementary, then each angle is a right angle |
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| congruent angles that form a linear pair, and their measures |
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Definition
| If two congruent angles form a linear pair, then they are right angles. |
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Term
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Definition
| use properties of algebra for segment and angles measures |
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Term
| Reflexive Property of Equality |
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Definition
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| Symmetric Property of Equality |
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Definition
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| Transitive Property of Equality |
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Definition
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| Addition and Subtraction Properties of Equality |
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Definition
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| Multiplication and Division Properties of Equality |
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Definition
a=b
a/c=b/c or a x c= b x c |
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| Substitution Property of Equality |
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Definition
| If a = b then you can replace a with b |
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Term
| Distributive Property of Equality |
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Definition
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| Segment Addition Postulate |
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Definition
| If B is between A and C, then AB + BC = AC |
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Term
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Definition
Congruence of segments is reflexive, symmetric, and transitive.
Reflexive: AB = AB
Symmetric Property: If AB = CD, then CD = AB
Transitive Property: If AB = CD, CD = EF, then AB = EF. |
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