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Postulates and Theorems
Of Chapter 6 and beyond
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Table of Contents:
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Page 3: Line Postulates Header
4: 2.2 – Congruence
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5: 2.9 – Segment add. and trans. property
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6: 3.1 – Corresponding angles
7: 3.2, 3.3 – Parallel and perpendicular lines •
8: 3.1 – 3.3 – Parallel lines and angle pairs
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9: 3.4 – Misc. postulates
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10: 3.5 – Parallel postulates
11: 3.5 – 3.8 –
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12: Slopes and non-vertical lines
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13: Slopes
14: Triangle Postulate Header
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15: 4.1, 4.2 – SSS, SAS, Exterior angles
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16: 4.3 – ASA, Summary
17: 4.3 continued – Third Angles Theorem •
18: 4.5
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19: 5.7
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20: 5.9 – 5.10
21: 5.11
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22: 5.13 – 5.14
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23: Congruency
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24: Inequality postulates

25: Summary of terms
26: Parallelogram Postulate Header
27: 6.7 – proofs and theorems
28: 6.3 – 6.6

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40: # Prop. Header
41: Cross products
42: Laws of Reasons Header
43: Laws
44: Summary
45: Definitions Header
46: Definitions

29: 6.7 – 6.8 – Diagonals of parallelograms

30: 6.9 – 6.12
31: 6.13
32: 6.14
33: 6.15

34: 6.15 – 6.16
35: 6.17 – 6.20
36: 6.21 – 6.23
37: 6.24 – 6.26
38: Polygon Postulates Header

39: 6.1 – 6.2

2
Line Postulates

3
Line Postulates – 2.2

4
Line Postulates – 2.9

5
Line Postulates – 3.1

6
Line Postulates – 3.2 – 3.3

7
LINE POSTULATES – 3.1 – 3.3

8
Line Postulates – 3.4

9
Line Postulates – 3.5

10
Line Postulates – 3.5 – 3.8

11
Line Postulates – Slopes and Non-Vertical Lines

12
Line Postulates - Slopes

13
Triangle Postulates

14
Triangle Postulates: 4.1, 4.2

15
Triangle Postulates – 4.3

16
4.3 Continued…

17
Triangle Postulates – 4.5

18
Triangle Postulates – 5.7

19
Triangle Postulates – 5.9, 5.10

20
Triangle Postulates – 5.11

21
Triangle Postulates – 5.13, 5.14

22
Triangle Postulates - Congruency

23
Triangle Postulates – Inequality and Congruence

24
Triangle Postulates – Summary of Terms

25
Parallelograms

26
Parallelogram Postulates – 6.4

27
Parallelograms – 6.3 – 6.6

28
Parallelogram Postulates – 6.7 – 6.8

29
Parallelogram Postulates 6.9 – 6.12

30
Parallelogram Postulates – 6.13

31
Parallelogram Postulates – 6.14

32
Parallelogram Postulates – 6.15

33
Parallelogram Postulates – 6.15 – 6.16

34
Parallelogram Postulates – 6.17 – 6.20

35
Parallelogram Postulates – 6.21 – 6.23

36
Parallelogram Postulates – 6.24 – 6.26

37
Polygon Postulates

38
Polygon Postulates – 6.1 – 6.2

39
Number Properties

40
Number Properties – Cross Products

41
Laws of Reason

42
Laws of Reason - Laws

43
Laws of Reasons - Summary

44
Specific Definitions

45
DEFINITIONS
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Diagonal: A line that goes across the quads.
Isosceles trapezoid: A trapezoid with equal angles on either side.
Midsegment of a trapezoid: The middle of a trapezoid.
Exterior angle: An angle formed by one side of a polygon and the
extension of another side

46

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Postulates and Theorems