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Katie Geometry
Katie's Geometry Facts
| Questions | Answer |
|---|---|
| Point | location one dot |
| Plane | a flat surface made of at leas three points |
| collinear | points on the same line |
| non-collinear | points not on the same line |
| coplainer | points on the same plane |
| line segment | can be measured |
| between | a point between two other points |
| congruent | two segments that have the same measurement of length ~ = |
| distance | number of units between two points on a number line D = square root (x-x)squared + (y-y)squared |
| midpoint | half way between a point and the end point |
| midpoint plane formula | m= x+x/2 and y-y/2 |
| ray | part of a line that has an endpoint and extends indefinitely in one direction. |
| opposite ray | two rays with the same starting point and going in opposite directions. |
| degree | what you measure angles in |
| angle | formed by two non collinear rays that have a common endpoint; the rays are called sides and the common endpoint is called the vertex |
| right angle | equals 90 degrees |
| acute | less than 90 degree |
| obtuse | greater than 90 |
| congruent angles | angles that have the same measurement |
| adjacent angles | two angle that lie on the same plane and have a common vertex and common sides but have no common interior points. |
| vertical angles | two non adjacent angles made by an intersection and are always congruent |
| linear pair | pair of adjacent angles with non common sides that are opposite rays. |
| supplementary angles | two angles that equal 180 degrees |
| perpendicular lines | line segments that make an intersection and all make 90 degree angles. |
| conjecture | educated guess based on known knowledge. |
| inductive reasoning | reasoning that uses a number of specific examples to arrive at a good prediction. |
| counter example | makes the inductive reasoning false. |
| statement | a sentence that is either true or false but not both. |
| negate | opposite meaning - put a not in the sentence.~ means not |
| compound statement | two or more statements joined together. |
| conjunction | a compound statement formed by two statement joined by and ^ |
| disjunction | a compound statement by joining two statements with or V |
| conditional statement | can be written in a "if then form" |
| conclusion | an if phrase immediately followed by then |
| converse statement | formed by exchanging the hypothesis and conclusion |
| hypothesis | a then phrase immediately followed by if. |
| inverse statement | negates the hypothesis and the conclusion |
| contra-point | negates both the hypotheses and the conclusion and the converse statement |
| deductive reasoning | using facts, rules, definitions, or properties to reach a logical conclusion. |
| law of detachment | if P then Q is true, then P is true, and Q is also true. |
| law of syllogism | if P then Q. and Q is R then P is R |
| postulate | statement that is accepted as true |
| postulate statement 2.1 | through any two points there is exactly one line |
| postulate statement 2.2 | through any three points not on the same line there is exactly one plane |
| postulate statement 2.3 | a line that contains at least two points |
| postulate statement 2.4 | a plane contains at leas thee points not on the same line |
| postulate 2.5 | if two points on lie on the same plane the entire lines points are also on that same plane |
| postulate 2.6 | when two lines intersect then the intersection is a point. |
| Postulate 2.7 | if two planes intersect then the intersection is a line |
| theorem | statement that can be proven true by undefined terms, definitions, and postulates. |
| proof | a logical argument |
Created by:
kcorkinsnctc
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