# BJU 1.1-1.5 Geometry

 SETS A collection of elements -List method: P={red, blue, yellow}-Set Builder Notation: P={x l x is a primary color} ELEMENT E symbol= "is an element of" -V={8,9,10} 9 E V EQUIVELENT SETS sets that have the same # of elements EQUAL SETS sets that are identicle SUBSET C = if set A contains set B.... B c A A={1,2,3,4,5}B={1,2,3} PROPER SUBSET a proper subset is a subset that is not the set itself. OR, two sets cannot be equal. BINARY AND UNARY Has to do with 2 sets....Has to do with 1 set. UNION U= The combo of two sets INTERSECTION n= The common elements of two sets DISJOINT SETS two sets with nothing in common (empty set symbol of slashed circle) COMPLEMENT all of the elements NOT given in a set u={xlx E colors}P={xlx E primary}SO.... P'={xlx "slashed element sign" primary} Collinear Points points that lie on the same line NONCOLLINEAR POINTS points that do not lie on the same line CONCURRENT LINES lines that intersect at a single point COPLANAR POINTS points that lie on the same plane COPLANAR LINES Lines that lie on the same plane PARRALLEL LINES coplanar lines that do NOT intersect SKEW LINES lines that are NOT coplanar PARALLEL PLANES planes that do NOT intersect POSTULATE basic statements from which the theorems are proved THEOREM a statement that can be logically proved using a DEFINITION, POSTULATE, or PREVIOUSLY PROVED THEOREM. EXPANSION POSTULATE a line contains at least 2 points;a plane contains at least 3 noncollinear points;space contains at least 4 noncoplanar points. LINE POSTULATE any 2 points in space lie in exactly 1 line PLANE POSTULATE 3 noncollinear points lie in exactly one plane FLAT PLANE POSTULATE if 2 points lie in a plane, then the line containing these 2 points lie in the same plane PLANE INTERSECTION POSTULATE if 2 planes intersect, than their intersection is exactly 1 line THEOREM 1.1 if any 2 distinct lines intersect, they intersect at one & only one point. THEOREM 1.2 a line & a point not on that line are contained in one & only one plane THEOREM 1.3 2 intersecting lines are contained in one & only one plane THEOREM 1.4 2 parallel lines are contained in one & only one plane Authoralyzapinski13 ID33610 Card SetBJU 1.1-1.5 Geometry DescriptionGeometry, including postulates, theorems, & terms from BJUpressonline Updated2010-09-09T06:23:57Z Show Answers