Geometry Review - Postulates

Front 1

Postulate 1

Back 1

Ruler Postulate: The points on a line can be paired with the real numbers in such a way that any 2 points can have coordinates 0 and 1.

Front 2

Postulate 2

Back 2

Segment Addition Postulate: If A is between C and R then CA + AR = CR

Front 3

Postulate 3

Back 3

Protractor Postulate

Front 4

Postulate 4

Back 4

The Angle Addition Postulate: If point P lies in the interior of <AOQ then m<AOP + m<POQ = m<AOQ. If <AOB is a straight angle and C is any point not on line AB then m<AOC + m<COB = m<AOB.

Front 5

Postulate 5

Back 5

a line contains at least 2 points. a plane contains at least 3 points not all in one line. space contains at least 4 points not all in one plane.

Front 6

Postulate 6

Back 6

through any 2 points there is exactly 1 line

Front 7

Postulate 7

Back 7

through any 3 points there is at least 1 plane. through any 3 noncollinear points there is exactly 1 plane

Front 8

Postulate 8

Back 8

if 2 points are in a plane then the line that contains the points is in that plane

Front 9

Postulate 9

Back 9

if 2 planes intersect then their intersection is a line

Front 10

Postulate 10

Back 10

If 2 parallel lines are but by a transversal then corresponding angles are congruent

Front 11

Postulate 11

Back 11

If 2 lines are cut by a transversal and corresponding angles are congruent then the lines are parallel