Front | Back |
Segment Addition Postulate
|
Two segments add up to one bigger
segment
|
Angle Addition Postulate
|
Two angles add up to one bigger angle
|
Postulate 5
|
A line contains at least two points; a plane contains at least three points not all in one line; space contains at least four points not all in one line
|
Postulate 6
|
Through any two points there is exactly one line.
|
Postulate 7
|
Through any three points there is exactly one plane, and through any three collinear points there is exactly one plane.
|
Postulate 8
|
If two points are in a plane, then the line that contains the points is in that plane.
|
Postulate 9
|
If two points intersect, their intersection is a line.
|
Theorem 1-1
|
If two lines intersect, then they intersect in exactly one point.
|
Theorem 1-2
|
Through a line and a point not in the line there is exactly one plane.
|
Theorem 1-3
|
If two lines intersect, then exactly one plane contains the lines.
|
Addition Property
|
If a = b, and c = d then a + c = b +d
|
Subtraction Property
|
If a = b and c = d then a - c = b - d
|
Multiplication Property
|
If a = b, then ca =cb
|
Division Property
|
If a = b, then a/c = b/c
|
Substitution Property
|
If a = b, then a or b can be substituted for the other in any equation or inequality.
|