| Term | Definition |
|---|
| cartesian coordinate plane | splits up plane in two perpendicular lines, forming four quadrants |
| rene descartes | creater of cartesian coordinate plane |
| collinear | coordinates of points that satisfy the same linear equation |
| capital | point |
| point | intersection of a line |
| cursive lowercase | line |
| line | intersection of a plane |
| ACD | plane |
| plane | capital cursive |
| AB | measure of segment AB |
| absolute value | distance from zero |
| ruler postulate | points on a line can be paired with real numbers, and thus measured |
| distance between a and b | [a-b]=[b-a] |
| segment addition postulate | if Q is between P and R then PQ+QR=PR |
| Pith. Theorm | a^2+b^2=c^2 |
| distance formula | d=(x2-x1)^2+(y2-y1)^2 |
| definition of midpoint | if M is the midpoint of PQ then PM=MQ |
| midpoint | a+b/m |
| midpoint with coordinates | x+x/2= M1, y+y/2= M2 |
| congruent segments | segments equal in length |
| angle | two noncollinear rays with a common endpoint |
| ray | segment extended in one direction |
| opposite rays | any given point of a line that determines exactly two rays |
| protractor postulate | given any point with a measure from 0-180 it can be measured |
| angle addition postulate | if R is the interior of <PQS then m<PQR+m<RQS=m<PQS |
| acute | angle less than 90 degrees |
| right | measure of 90 degrees |
| obtuse | angle with a measure greater than 90 degrees |
| straight | angle with measure of 180 degrees, not a real angle |
| adjacent angle | common vertex, common side, no common interior points |
| vertical angles | two nonadjacent angles formed by two intersecting lines, are congruent |
| linear pair | two adjacent angles that form a straight angle |
| supplementary angles | two angles thats measure adds up to 180 degrees |
| complimentary angles | two angles that up to 90 degrees |
| perpendicular lines | two lines that intersect to form a right angle |
| conjecture | educated guess |
| inductive reasoning | looking at several specific situation to arrive at a conjecture |
| counterexample | false example |
| p | hypothesis |
| q | conclusion |
| converse | interchanging the hypothesis and conclusion of a conditional |
| conditional statement | if... then |
| if conditional is true | contrapositive is true |
| if converse is true | inverse is true |
| inverse | negative conditional |
| contrapositive | negative converse |
| postulates | principles accepted without proof |
| deductive reasoning | uses a rule to make a specific conclusion |
| law of detachment | if p-t is a true conditional and p is true, q is true |
| law of syllogism | if p-q and q-r are true, p-r is also true |
| provided | if |
| only | then |
| properties of equality | subtraction, multiplication, division, and addition |
| congruence is reflexive | segment AB is congruent to segment AB |
| congruence is symmetric | segment AB is congruent to segment BC, then segment BC is congruent to segment AB |
| congruence is transitive | segment AB is congruent to segment BC and segment BC is congruent to segment CD, then segment AB is congruent to CD |
| reflexive property of congruency | A=A |
| symmetric property of congruency | if A=B then B=A |
| transitive propery of congruency | if a=b and b=c, then a=c |
| APE | if a=b, a+c=b+c |
| SPE | a=b, a-c=b-c |
| MPE | A=B, AC=BC |
| DPE | A/C=B/C |
| substitution | A=B, a can be replaced by b |
| distributive property | a(b+c)=ab+ac |
| definition of supplementary | m<a+m<b=180 |
| if two angles form a linear pair, then they are supplementary | <4 and <3 are supplementary |
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