# Theorem, Postulate and Corollary List

Ηλεκτρονική - Συσκευές

8 Οκτ 2013 (πριν από 4 χρόνια και 7 μήνες)

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Theorem, Postulate and Corollary List

1

CHAPTER 2 REASONING AND PROOF

Postulates 2.1

2.7

Theorem 2.1

Midpoint Theorem

Postulate 2.8

Ruler Postulate

Postulate 2.9

Theorem 2.2
Segment Congruence

2

Postulate 2.10 Protractor Postulate

Theorems
2.3

and 2.4

Supplement and Complement Theorems

Theorem 2.5

3

Theorems 2.6 and 2.7

Theorem 2.8 Vertical Angle
Theorem

T
heorems 2.9

2.13

Right Angle Theorems

CHAPTER 3 PARALLEL AND PERPENDICULAR LINES

Postulate 3.1 Corresponding Angles Postulate

4

Theorem 3.1

3.3 Parallel Lines and Angle Pairs

Theorem 3.4 Perpendicular Transversal Theorem

Postulate 3.2

and 3.3 Parallel and Perpendicular Lines

Postulate 3.4

5

Postulate 3.5 Parallel Postulate

Theorems 3.5

3.
8

Proving Lines Parallel

Theorem 3.9

CHAPTER 4 CONGRUENT TRIANGLES

Theorem 4.1 Angle Sum

Theorem

6

Theorem 4.2 Third Angle Theorem

Theorem 4.3 Exterior Angle Theorem

Cor
ollaries

4.1 and 4.2

Theorem 4.4 Properties of Triangle Congruence

7

Postulate 4.1 Side
-
Side
-
Side Congruence (SSS)

Postulate 4.2 Side
-
Angle
-
Side Congruence
(SAS)

Postulate 4.3 Angle
-
Side
-
Angle Congruence (ASA)

T
heorem 4.5 Angle
-
Angle
-
Side Congruence (AAS)

8

Theorem 4.6
-
4.8 and Postulate 4.4 Right Triangle Congruence

Theorem 4.9

Isosceles Triangle Theorem

Theorem 4.10

9

Corollaries 4.3 and 4.4

CHAPTER 5 RELATIONSHIPS IN TRIANGLES

Theorem 5.1

and 5.2 Points on Perpendicular Bisectors

Theorem 5.3

Theorems 5.4 and 5.5

Points on Angle Bisectors

10

Theorem 5.6 Incenter Theorem

Theorem 5.7 Centroid

Theorem

Theorem 5.8 Exterior Angle Inequality Theorem

Theorem 5.9

Theorem 5.10

11

T
heorem 5.11 Triangle Inequality Theorem

Theorem 5.12

Corollary 5.1

Theorem 5.13 SAS Inequality/Hinge Theorem

Theorem 5.14 SSS Inequality

12

Theorem 6.1 Interior Angle Sum Theorem

Theorem 6.2 Exterior Angle Sum Theorem

Theorem
s

6.3

-

6.6

13

Theorem 6.7

Theorem 6.8

Theorem
s

6.9

6.12 Proving Parallelograms

14

Theorem 6.13

Theorem 6.14

Theorem
s

6.15

6.17 Rhombus

Theorem 6.18

and 6.19 Isosceles Trapezoid

15

Theorem 6.20

CHAPTER 7 Proportions and similarity

Postulate 7.1 Angle
-
Angle (AA) Similarity

Theorem 7.1

and 7.2

Theorem 7.3

16

Theorem 7.4

Triangle Proportionality Theorem

Theorem 7.5

Converse of the Triangle Proportionality Theorem

Theorem 7.6

Triangle Midsegment Theorem

Corollaries 7.1 and 7.2

17

Theorem 7.7

Proportional Perimeters Theorem

Theorem 7.8

7.10 Special Segments of Similar Triangles

Theorem 7.11 Angle Bisector Theorem

18

CHAPTER 8 RIGHT TRIANGLES AND TRIGONOMETRY

Theorem 8.1

Theorem 8.2

Theorem 8.3

Theorem 8.4 Pythagorean Theorem

Theorem 8.5 Converse

of the Pythagorean Theorem

19

Theorem 8.6

Theorem 8.7

Theorem 8.8

Law of Sines

Theorem 8.9 Law of Cosines

20

CHAPTER 9 TRANSFORMATIONS

Theorem 9.1

and Corollary 9.1

Theorem 9.2

Theorem 9.3

CHAPTER 10 CIRCLES

Theorem
10.1

21

Theorem 10.2

Theorem 10.3

Theorem 10.4

Theorem 10.5 Inscribed Angle Theorem

22

Theorem 10.6

Theorem 10.7

Theorem 10.8

Theorem 10.9

Theorem 10.10

Theorem 10.11

23

Theorem 10.12

Theorem 10.13

Theorem 10.14

24

Theorem 10.15

Theorem 10.16

Theorem 10.17

CHAPTER 11 AREA OF POLYGONS AND CIRCLES

Postulate 11.1

Postulate 11
.2

25

CHAPTER 13 VOLUME

Theorem 13.1