postulates 2.1 2 - cpb-us-east-1-juc1ugur1qwqqqo4 ... · postulates 2.1 – 2.7 ... theorem 2.2...
TRANSCRIPT
![Page 1: 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](https://reader030.vdocument.in/reader030/viewer/2022021417/5ac4526f7f8b9a220b8cc5f9/html5/thumbnails/1.jpg)
Theorem, Postulate and Corollary List
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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
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Postulate 2.10 Protractor Postulate
Postulate 2.11 Angle Addition Postulate
Theorems 2.3 and 2.4 Supplement and Complement Theorems
Theorem 2.5
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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
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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
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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
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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
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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)
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Theorem 4.6-4.8 and Postulate 4.4 Right Triangle Congruence
Theorem 4.9 Isosceles Triangle Theorem
Theorem 4.10
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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
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Theorem 5.6 Incenter Theorem
Theorem 5.7 Centroid Theorem
Theorem 5.8 Exterior Angle Inequality Theorem
Theorem 5.9
Theorem 5.10
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Theorem 5.11 Triangle Inequality Theorem
Theorem 5.12
Corollary 5.1
Theorem 5.13 SAS Inequality/Hinge Theorem
Theorem 5.14 SSS Inequality
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CHAPTER 6 QUADRILATERALS
Theorem 6.1 Interior Angle Sum Theorem
Theorem 6.2 Exterior Angle Sum Theorem
Theorems 6.3 - 6.6
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Theorem 6.7
Theorem 6.8
Theorems 6.9 – 6.12 Proving Parallelograms
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Theorem 6.13
Theorem 6.14
Theorems 6.15 – 6.17 Rhombus
Theorem 6.18 and 6.19 Isosceles Trapezoid
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Theorem 6.20
CHAPTER 7 Proportions and similarity
Postulate 7.1 Angle-Angle (AA) Similarity
Theorem 7.1 and 7.2
Theorem 7.3
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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
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Theorem 7.7 Proportional Perimeters Theorem
Theorem 7.8 – 7.10 Special Segments of Similar Triangles
Theorem 7.11 Angle Bisector Theorem
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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
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Theorem 8.6
Theorem 8.7
Theorem 8.8 Law of Sines
Theorem 8.9 Law of Cosines
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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
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Theorem 10.2
Theorem 10.3
Theorem 10.4
Theorem 10.5 Inscribed Angle Theorem
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Theorem 10.6
Theorem 10.7
Theorem 10.8
Theorem 10.9
Theorem 10.10
Theorem 10.11
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Theorem 10.12
Theorem 10.13
Theorem 10.14
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Theorem 10.15
Theorem 10.16
Theorem 10.17
CHAPTER 11 AREA OF POLYGONS AND CIRCLES
Postulate 11.1
Postulate 11.2
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CHAPTER 13 VOLUME
Theorem 13.1