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