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 |