Honors Geometry Chapter 1 Postulates and Theorems

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 plane.

• Postulate 5

• Postulate 6

• Ruler Postulate

• Theorem 1-1

Through any two points there is

exactly one line.

• Postulate 1

• Postulate 6

• Segment Addition Postulate

• Theorem 1-3

Through any three points there is

at least one plane, and through any three

noncollinear points there is exactly one plane.

• Protractor Postulate

• Postulate 8

• Postulate 7

• Theorem 1-2

If two points are in a plane, then

the line that contains the points is in that plane.

• Theorem 1-2

• Postulate 9

• Postulate 7

• Postulate 8

If two planes intersect, then their

intersection is a line.

• Postulate 9

• Theorem 1-3

• Theorem 1-1

• Postulate 3

If two lines intersect, then they

intersect in exactly one point.

• Theorem 1-3

• Theorem 1-1

• Segment Addition Postulate

• Postulate 6

Through a line and a point not

in the line there is exactly one plane.

• Postulate 7

• Postulate 8

• Theorem 1-2

• Theorem 1-3

If two lines intersect, then

exactly one plane contains the lines.

• Theorem 1-2

• Postulate 6

• Postulate 5

• Theorem 1-3

A rule we accept without a proof.

• Postulate

• Theorem

An important rule that is proved.

• Postulate

• Theorem