1. Postulates
1- 21

2. Ruler postulate 1
Points on a line that can be matched to a number line -4 -3 -2 -1 1 2 3 4

3. Segment addition Postulate 2
Adding segments together A B C
AB+BC=AC

4. Protractor Postulate 3
Angle measured by a protractor
Interior angle

5. Angle Addition Postulate 4
m < RSP + m < PST=
M<RST

6. Postulate 5
Through any two points there exists only one line A B

7. Postulate 6
A line contains exactly two points A B

8. Postulate 7
If two lines intersect, then their intersection is exactly one point M

9. Postulate 8
Through any non collinear points there exists exactly one plane
Non-collinear- Not in a line A B C W

10. Postulate 9
A plane contains at least 3 non collinear points A B C D

11. Postulate 10
If two points lie on a plane, then the line containing them lies in a plane A B

12. Postulate 11
If 2 planes intersect, then their intersection is a line.

13. Linear Pair Postulate 12
If two angles form a linear pair, then they are supplementary.
M < 1 + m < 2 = 180 1 2

14. Parallel Postulate 13
If there is a line and a point not on the line, then there is exactly one line through that point parallel to the given line.
There is exactly one line through point P parallel to line L P L

15. Perpendicular Postulate 14
If there is a line and a point not on a line, then there is exactly one line through the point perpendicular to the given line.
There is exactly one line through P perpendicular to line L P L

16. Corresponding Angles Postulate 15
If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent, then the lines are parallel.
<1 congruent to <5
<2 congruent to <6
<3 congruent to <7
<4 congruent to <8 1 2 m 3 4 5 6 n 7 8

17. Corresponding Angles Converse 16
If two lines are cut by a transversal so the corresponding angles are congruent, then the lines are parallel
<1 is congruent to <5
<2 is congruent to <6
<3 is congruent to <7
<4 is congruent to <8 m 1 2 3 4 5 6 n 7 8

18. Slope of parallel lines 17
In a coordinate plane, two non vertical lines are parallel IFF they have the same slope. Any two vertical lines are parallel.
Lines m and n have the same slope and are parallel

19. Slope of a perpendicular line 18
In a coordinate plane, two non vertical lines are perpendicular IFF the product of their slopes is -1. Vertical and horizontal lines are perpendicular
Line m
Line n
Line m= - 2
Line n= 1/2

20. Side-Side-Side Congruence Postulate (SSS) 19
If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent.
EX: Ex 2 Q B X D P S W Y A C

21. Side Angle Side Congruence Postulate (SAS) 20
If two sides and the INCLUDED angle of one triangle are the congruent to two sides and the INCLUDED angle of a second triangle, then the two triangles are congruent.
Ex:1
Ex:2 Q X B D C A E P S W Y

22. Angle Side Angle Congruence Postulate (ASA) 21
If 2 angles and the INCLUDED side of 1 triangle are congruent to 2 angles and the INCLUDED side of a second triangle, then the 2 triangles are congruent.