Theorems and Postulates

The points on a line can be matched one to one with the real numbers. The real number that corresponds to a point is the coordinated of the point. The distance between points A and B, written as AB, is the absolute value of the difference of the coordinates of A and B.

• Ruler Postulate

• Segment Addition Postulate

• Angle Addition Postulate

• Two Point Postulate

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

• Ruler Postulate

• Segment Addition Postulate

• Angle Addition Postulate

• Two Point Postulate

If P is in the interior of angle RST, then the measure of angle RST is equal to sum of the measures of angle RSP and angle PST.

• Ruler Postulate

• Segment Addition Postulate

• Angle Addition Postulate

• Two Point Postulate

Through any two points, there exists exactly one line.

• Ruler Postulate

• Segment Addition Postulate

• Angle Addition Postulate

• Two Point Postulate

Tags

CCSS.HSG.CO.A.1

A line contains a least two points.

• Two Point Postulate

• Line-Point Postulate

• Line Intersection Postulate

• Three Point Postulate

Tags

CCSS.HSG.CO.A.1

If two lines intersect, then their intersection is exactly one point.

• Two Point Postulate

• Line-Point Postulate

• Line Intersection Postulate

• Three Point Postulate

Tags

CCSS.HSG.CO.A.1

Through any three noncollinear points, there exists exactly one plane.

• Two Point Postulate

• Line-Point Postulate

• Line Intersection Postulate

• Three Point Postulate

A plane contains at least three noncollinear points.

• Plane-Point Postulate

• Line-Point Postulate

• Plane-Line Postulate

• Three Point Postulate

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

• Plane-Point Postulate

• Line-Point Postulate

• Plane-Line Postulate

• Three Point Postulate

Tags

CCSS.HSG.CO.A.1

If two planes intersect, then their intersection is a line.

• Plane-Point Postulate

• Linear Pair Postulate

• Plane-Line Postulate

• Plane Intersection Postulate