# BJU 1.1-1.5 Geometry

The flashcards below were created by user alyzapinski13 on FreezingBlue Flashcards.

1. SETS
• A collection of elements
• -List method: P={red, blue, yellow}
• -Set Builder Notation: P={x l x is a primary color}
2. ELEMENT
E symbol= "is an element of"

-V={8,9,10}

9 E V
3. EQUIVELENT SETS
sets that have the same # of elements
4. EQUAL SETS
sets that are identicle
5. SUBSET
C = if set A contains set B.... B c A

• A={1,2,3,4,5}
• B={1,2,3}
6. PROPER SUBSET
• a proper subset is a subset that is not the set itself.
• OR, two sets cannot be equal.
7. BINARY AND UNARY
• Has to do with 2 sets....
• Has to do with 1 set.
8. UNION
U= The combo of two sets
9. INTERSECTION
n= The common elements of two sets
10. DISJOINT SETS
• two sets with nothing in common
• (empty set symbol of slashed circle)
11. 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}
12. Collinear Points
points that lie on the same line
13. NONCOLLINEAR POINTS
points that do not lie on the same line
14. CONCURRENT LINES
lines that intersect at a single point
15. COPLANAR POINTS
points that lie on the same plane
16. COPLANAR LINES
Lines that lie on the same plane
17. PARRALLEL LINES
coplanar lines that do NOT intersect
18. SKEW LINES
lines that are NOT coplanar
19. PARALLEL PLANES
planes that do NOT intersect
20. POSTULATE
basic statements from which the theorems are proved
21. THEOREM
a statement that can be logically proved using a DEFINITION, POSTULATE, or PREVIOUSLY PROVED THEOREM.
22. EXPANSION POSTULATE
• a line contains at least 2 points;
• a plane contains at least 3 noncollinear points;
• space contains at least 4 noncoplanar points.
23. LINE POSTULATE
any 2 points in space lie in exactly 1 line
24. PLANE POSTULATE
3 noncollinear points lie in exactly one plane
25. FLAT PLANE POSTULATE
• if 2 points lie in a plane,
• then the line containing these 2 points lie in the same plane
26. PLANE INTERSECTION POSTULATE
if 2 planes intersect, than their intersection is exactly 1 line
27. THEOREM 1.1
• if any 2 distinct lines intersect,
• they intersect at one & only one point.
28. THEOREM 1.2
a line & a point not on that line are contained in one & only one plane
29. THEOREM 1.3
2 intersecting lines are contained in one & only one plane
30. THEOREM 1.4
2 parallel lines are contained in one & only one plane
 Author: alyzapinski13 ID: 33610 Card Set: BJU 1.1-1.5 Geometry Updated: 2010-09-09 06:23:57 Tags: BJU Geometry Folders: Description: Geometry, including postulates, theorems, & terms from BJUpressonline Show Answers: