math system Flashcards
(13 cards)
what are undefined terms?
terms that cant be defined be precisely
wht are defined terms?
Have a formal definition
what are axiom/postulates
statements that can be accepted as true w/o proof
what are theorems
statement that can be proven true
Examples of undefined terms
point line plane
what is point
position in space and does not occupy area
what is line
a straight continuous arrangement of infinitely many points going in both directions
what is plane
a flat surface or “infinite sheet of paper”
what are collinear point?
points that are on the same line
what are coplanar points?
points that are on the same plane
what is line segment
a part of a line with 2 endpoints
what is ray
a part of a line with 1 endpoint
what are corollary
statement that is justified by a postulate