Name_____________________
Date______________Block____
Definitions:
postulate
axiom
proof
A _____________
or _______________
is a statement that is accepted as true without ___________.
proof
A _________
is a logical argument in which each statement you make is supported by a statement that is
theorem
true
accepted as _________.
Once a statement or conjecture has been proven, it is called a ______________
and it can be used as a reason to justify statements in other proofs. Basic ideas about points, lines, and
postulates
planes can be stated as ________________________.
Postulates:
exactly
1. Through any 2 points there is __________
one ____________.
line
two _____________.
points
2. A line contains at least ______
three _________________
noncollinear
3. Through any ______
points, there is exactly one plane.
4. A plane contains at least _______
points.
three _________________
noncollinear
containing
5. If two points lie in plane, then the entire line ___________________
them is also in the plane.
line
6. If two planes intersect, then their intersection is a _______________.
point
7. If two lines intersect, then their intersection is a ____________.
Theorems:
Midpoint Theorem:
If M is the midpoint of AB, the AM  MB.
True or False:
T
1. A plane is determined by two intersecting lines.
F
2. If three points are coplanar, then they are collinear.
T
______3.
Any two points are collinear.
T
______4.
A plane and a line intersect at most in one point.
______5.
F
Three points are not always coplanar.
T
______6.
Two planes intersect in infinitely many points.
T
______7.
Two different planes intersect in a line.
F
______8.
A line lies in one and only one plane.
T
______9.
A line and a point not on that line lie in one and only one plane.
T
______10.
Three planes can intersect in only one point.
T
______11.
Three lines can intersect in only one point.
T
______12.
Three lines can intersect in only two points.
______13.
F
Through any three collinear points, there is exactly one plane.
______14.
T
If two planes intersect, then their intersection is a line.
Memorize these Postulates!!!!!
Complete the postulates and pictures below:
1.
Through any two points there exists exactly ____________ ______________________.
Example:
2.


A line contains at least _____________________ points.
Example:
3.
If two lines intersect, then their intersection is exactly ___________ _________________.
Example:
4.
Through any 3 ________________________ points there exists exactly one plane.
5.
A _______________________ contains at least 3 non-collinear points.




6.
If two points lie in a plane, then the ________________ containing them lies in the plane.


7.
If two planes intersect, then their intersection is a ______________________.