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Geometry test 1
geometrical stuff
14
Mathematics
Undergraduate 4
02/07/2013

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Cards

Term
Postulates
Definition
1. two distinct points lie on exactly one line
2. one may extend a line segment indefinitely in each direction
3. given any two distinct points, one may construct a circle with one point as center and the segment joinging the 2nd poin as radius.
4. any 2 right angles are equal in measure to each other
5. if a straight line falling on 2 straight lines makes the interior angles on the same side less then 2 right angles, then the two stright line, if extended indefinitely, meet on that side on which the angles are less than the two right angles.
Term
common notions
Definition
1. things that are equal to the same thing are also equal to each other.
2. if equals are added to equals, then the sums are equal
3. if equals are subtracted from equals, the remainders are equal.
4. things that coincide with eachother are equal to each other.
5. the whole is greater than the part.
Term
distance formula
Definition
the square root of (x2-x1) squared + (y2-y1)squared
Term
theorems
Definition
statemnts that are proven using postulates, axioms, and previously proven statements.
Term
hypthesis
Definition
follows the if in an if then statement
Term
conclusion
Definition
follows then in an if then statement
Term
Converse
Definition
flip the hypthesis and the conclusion
Term
contrapositive
Definition
flip the hypthesis and the conclusion, then negate them
Term
inverse
Definition
negate the original statement
Term
how many km in a MI
Definition
1.609 km per mi
Term
meter
Definition
1/10,000,000 of the distance from the north pole to the equator
Term
360 degrees equals how many radians
Definition
2 Pi
Term
180 degrees is how many radians
Definition
Pi
Term
90 degrees is how many raidans
Definition
pi/2
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