Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
History of trigonometry wikipedia , lookup
Integer triangle wikipedia , lookup
History of geometry wikipedia , lookup
Multilateration wikipedia , lookup
Rational trigonometry wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Trigonometric functions wikipedia , lookup
Perceived visual angle wikipedia , lookup
Line (geometry) wikipedia , lookup
S. Hiles Honors Geometry Possible “Reasons” in a proof. Properties of equality 1. Addition prop of = 2. Subtraction prop of = add the same num to both sides of = subtract the same num from both sides of = 3. 4. 5. 6. mult the same num to both sides of = divide both sides of = by same num 2(x+3) =___________________ combine like terms Multiplication prop of = Division prop of = Distributive prop of = Simplify 7. Reflexive prop 8. Symmetric prop 9. Transitive prop 10. Substitution a =a or AB=AB or 5=5 if x = 2 then 2 = x or if AB=5 then 5 = __________ if x = 3 and 3 = y then x = y or If AB=3 and 3= CD then __________ if x= 5 and x + 2 = y then __________= y Definitions 1. Definition of congruence Allows you to go from = to @ or vice versa AB= CD m<X= m<Y AB @ CD ____________ 2. Definition of midpoint X is the midpoint of AB then _______________ 3. Definition of perpendicular AB ^ BC at B then __________________ 4. Definition of right angle <A is a right angle then __________________ 5. Definition of supplementary <A and <B are supplementary then ____________________________ 6. Definition of complimentary <A and <B are complimentary then ____________________________ Postulates 1. Segment Addition Postulate 2. Angle Addition Postulate A, B, and C are collinear and B is between A and C then _______________________ If B is in the interior of <MNO then ______________ 3. Linear Pair Postulate Theorems 1. Right angle congruence thm <1 and <2 form a linear pair then _______________________ <1 and <2 are right angles then _______________________ 2. Congruent supplements thm <1 and <2 are supplementary and <2 and <3 are supplementary then ____________________ 3. Congruent complements thm <1 and <2 are complimentary and <2 and <3 are complimentary then ________________________ 4. Vertical angles thm <1 and <2 are vertical angles then _________________________