Postulates

Postulate 1-1-1

Through any two points there is exactly one line.

Postulate 1-1-2

Through any three noncollinear points there is exactly one plane containing them.

Postulate 1-1-3

If two points lie in a plane, then the line containing those points lies in the plane.

Postulate 1-1-4

If two lines intersect,then they intersect in exactly one point.

Postulate 1-1-5

If two planes intersect, then they interrsect in exactly one line.

Postulate 1-2-1 (Ruler Postulate)

The points on a line can be put into one-to-one correspondence with the real numbers

Postulate 1-2-2 (Segment Addition Postulate)

If B is between A and C,then AB + BC = AC.

Postulate 1-3-1 (Protractor Postulate)

Given AB and a point O on AB, all rays that can be drawn from O can be put into a one-to-one correspondence with real numbers fron 1 to 180.

Postulate1-3-2 (Angle Addition Postulate)

If S is in the interior (Post)PQR,then m(Post)PQR +(Post)SQR = m(Post)PQR

Postulate 1-1-1

Through any two points there is exactly one line.

Postulate 1-1-2

Through any three noncollinear points there is exactly one plane containing them.

Postulate 1-1-3

If two points lie in a plane, then the line containing those points lies in the plane.

Postulate 1-1-4

If two lines intersect,then they intersect in exactly one point.

Postulate 1-1-5

If two planes intersect, then they interrsect in exactly one line.

Postulate 1-2-1 (Ruler Postulate)

The points on a line can be put into one-to-one correspondence with the real numbers

Postulate 1-2-2 (Segment Addition Postulate)

If B is between A and C,then AB + BC = AC.

Postulate 1-3-1 (Protractor Postulate)

Given AB and a point O on AB, all rays that can be drawn from O can be put into a one-to-one correspondence with real numbers fron 1 to 180.

Postulate1-3-2 (Angle Addition Postulate)

If S is in the interior (Post)PQR,then m(Post)PQR +(Post)SQR = m(Post)PQR