Postulates 2.1 2 - cpb-us-east-1-juc1ugur1qwqqqo4 ... · Postulates 2.1 – 2.7 ... Theorem 2.2 Segment Congruence . 2 Postulate 2.10 Protractor Postulate Postulate 2.11 Angle Addition
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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 Segment Addition Postulate
Theorem 2.2 Segment Congruence
2
Postulate 2.10 Protractor Postulate
Postulate 2.11 Angle Addition 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
Theorems 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
Corollaries 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)
Theorem 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
Theorem 5.11 Triangle Inequality Theorem
Theorem 5.12
Corollary 5.1
Theorem 5.13 SAS Inequality/Hinge Theorem
Theorem 5.14 SSS Inequality
12
CHAPTER 6 QUADRILATERALS
Theorem 6.1 Interior Angle Sum Theorem
Theorem 6.2 Exterior Angle Sum Theorem
Theorems 6.3 - 6.6
13
Theorem 6.7
Theorem 6.8
Theorems 6.9 – 6.12 Proving Parallelograms
14
Theorem 6.13
Theorem 6.14
Theorems 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
Postulate 10.1 Arc Addition Postulate
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
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