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| Question | Answer |
| Statement | Any sentence that is either true or false, but not both. |
| Truth Value | The validity of a statement. |
| Conditional | A statement that can be written in if- then form. |
| Hypothesis | The given info. of the conclusion. The part of the conditional stateent that follows the "if." |
| Conclusion | The result of the given info. The part of the conditional statement that follows the "then." |
| Counterexample | What proves something is false. |
| p-->q | used to represent if p then q. Can also be written p implies q. |
| ~ | the symbol for word not. (negation symbol) |
| Converse | switch order of hypothesis and conclusion |
| Inverse | create opposite of both hypothesis and conclusion |
| Contrapositive | Switch and negate |
| Biconditional | If and only if... When conditional statement and its converese are both true |
| ^ | Both must be true -and -union |
| U | To be true one must be true -combine -intersection |
| <--> | If and only if |
|
Image:
therefore.gif (image/gif)
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therefore |
| Law of detachment | If p-->q is a true conditional statement and p is true, then q is true. |
| Law of syllogism | If p-->q and q-->r are true conditional statements then p-->r is also true. |
| Point | A location |
| Line | series of points that extend in 2 opposite directions with out end. |
| Collinear | points that lie on the same line |
| Non collinear | points that do NOT lie on the same line |
| plane | flat surface that extends in all directions without end |
| coplanar | points and lines that lie on the same plane |
| non coplanar | points and lines that dont lie on the same plane |
| space | the set of all points |
| slope | rise/run y2-y1/x2-x1 |
| Horizontal lines have slope of _____________ | zero |
| Vertical lines have _______________________ | no slope |
| Midpoint | |
| Deductive Reasoning | Facts |
| Inductive Reasoning | Observation |
| Distance Formula |
Image:
distance (image/jpg)
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| Supplementary | 180 |
| Complementary | 90 |
| Alternate Interior Angles |
Image:
altin.gif (image/gif)
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| Alternate Exterior Angles |
Image:
altexterior.gif (image/gif)
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| Corresponding |
Image:
corres.gif (image/gif)
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| Consecutive Interior |
Image:
conse.gif (image/gif)
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| scalene | no sides are same |
| Isoceles | 2 sides are the same |
| Equilateral | All sides are same |
| Sum of angles in a triangle | 180 |
| The shortest side of a triangle is opposite the _____ angle. | smallest |
| The longest side of a triangle is opposite the _________angle. | longest |
| The smallest angle is opposite the_____side. | shortest |
| The largest angle is opposite the _________ side. | longest |
| The missing side of a triangle is in between the ___ and _____ of the 2 given sides. | sum, difference |
| What are the 5 ways to prove a triangle is congruent? | SSS, SAS, ASA, AAS, HL |
| Midsegment of a triangle is parallel to the 3rd side and half the length of the __ side | 3rd |
| Distributive Property | a(b+c)=ab+ac |
| Symmetric Property | If a=b, then b=a |
| Reflexive Property | a=a |
| Transitive Property | If a=b and b=c, then a=c |
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