Theorem, Postulate and Corollary List CHAPTER 2 REASONING AND PROOF

Postulates 2.1 – 2.7

Theorem 2.1 Midpoint Theorem

Postulate 2.8 Ruler Postulate

Postulate 2.9 Segment Addition Postulate

Theorem 2.2 Segment Congruence

1

Postulate 2.10 Protractor Postulate

Postulate 2.11 Angle Addition Postulate

Theorems 2.3 and 2.4 Supplement and Complement Theorems

Theorem 2.5

2

Theorems 2.6 and 2.7

Theorem 2.8 Vertical Angle Theorem

Theorems 2.9 – 2.13 Right Angle Theorems

CHAPTER 3 PARALLEL AND PERPENDICULAR LINES

Postulate 3.1 Corresponding Angles Postulate

3

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

4

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

5

Theorem 4.2 Third Angle Theorem

Theorem 4.3 Exterior Angle Theorem

Corollaries 4.1 and 4.2

Theorem 4.4 Properties of Triangle Congruence

6

Postulate 4.1 Side-Side-Side Congruence (SSS)

Postulate 4.2 Side-Angle-Side Congruence (SAS)

Postulate 4.3 Angle-Side-Angle Congruence (ASA)

Theorem 4.5 Angle-Angle-Side Congruence (AAS)

7

Theorem 4.6-4.8 and Postulate 4.4 Right Triangle Congruence

Theorem 4.9 Isosceles Triangle Theorem

Theorem 4.10

8

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

9

Theorem 5.6 Incenter Theorem

Theorem 5.7 Centroid Theorem

Theorem 5.8 Exterior Angle Inequality Theorem

Theorem 5.9

Theorem 5.10

10

Theorem 5.11 Triangle Inequality Theorem

Theorem 5.12

Corollary 5.1

Theorem 5.13 SAS Inequality/Hinge Theorem

Theorem 5.14 SSS Inequality

11

CHAPTER 6 QUADRILATERALS

Theorem 6.1 Interior Angle Sum Theorem

Theorem 6.2 Exterior Angle Sum Theorem

Theorems 6.3 - 6.6

12

Theorem 6.7

Theorem 6.8

Theorems 6.9 – 6.12 Proving Parallelograms

13

Theorem 6.13

Theorem 6.14

Theorems 6.15 – 6.17 Rhombus

Theorem 6.18 and 6.19 Isosceles Trapezoid

14

Theorem 6.20

CHAPTER 7 Proportions and similarity

Postulate 7.1 Angle-Angle (AA) Similarity

Theorem 7.1 and 7.2

Theorem 7.3

15

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

16

Theorem 7.7 Proportional Perimeters Theorem

Theorem 7.8 – 7.10 Special Segments of Similar Triangles

Theorem 7.11 Angle Bisector Theorem

17

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

18

Theorem 8.6

Theorem 8.7

Theorem 8.8 Law of Sines

Theorem 8.9 Law of Cosines

19

CHAPTER 9 TRANSFORMATIONS

Theorem 9.1 and Corollary 9.1

Theorem 9.2

Theorem 9.3

CHAPTER 10 CIRCLES

Theorem 10.1

Postulate 10.1 Arc Addition Postulate

20

Theorem 10.2

Theorem 10.3

Theorem 10.4

Theorem 10.5 Inscribed Angle Theorem

21

Theorem 10.6

Theorem 10.7

Theorem 10.8

Theorem 10.9

Theorem 10.10

Theorem 10.11

22

Theorem 10.12

Theorem 10.13

Theorem 10.14

23

Theorem 10.15

Theorem 10.16

Theorem 10.17

CHAPTER 11 AREA OF POLYGONS AND CIRCLES

Postulate 11.1

Postulate 11.2

24

CHAPTER 13 VOLUME

Theorem 13.1

25