Postulates 2.1 2
Theorem, Postulate and Corollary ListCHAPTER 2 REASONING AND PROOFPostulates 2.1 – 2.7Theorem 2.1 Midpoint TheoremPostulate 2.8 Ruler PostulatePostulate 2.9 Segment Addition PostulateTheorem 2.2 Segment Congruence1
Postulate 2.10 Protractor PostulatePostulate 2.11 Angle Addition PostulateTheorems 2.3 and 2.4 Supplement and Complement TheoremsTheorem 2.52
Theorems 2.6 and 2.7Theorem 2.8 Vertical Angle TheoremTheorems 2.9 – 2.13 Right Angle TheoremsCHAPTER 3 PARALLEL AND PERPENDICULAR LINESPostulate 3.1 Corresponding Angles Postulate3
Theorem 3.1 – 3.3 Parallel Lines and Angle PairsTheorem 3.4 Perpendicular Transversal TheoremPostulate 3.2 and 3.3 Parallel and Perpendicular LinesPostulate 3.44
Postulate 3.5 Parallel PostulateTheorems 3.5 – 3.8 Proving Lines ParallelTheorem 3.9CHAPTER 4 CONGRUENT TRIANGLESTheorem 4.1 Angle Sum Theorem5
Theorem 4.2 Third Angle TheoremTheorem 4.3 Exterior Angle TheoremCorollaries 4.1 and 4.2Theorem 4.4 Properties of Triangle Congruence6
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 CongruenceTheorem 4.9 Isosceles Triangle TheoremTheorem 4.108
Corollaries 4.3 and 4.4CHAPTER 5 RELATIONSHIPS IN TRIANGLESTheorem 5.1 and 5.2 Points on Perpendicular BisectorsTheorem 5.3Theorems 5.4 and 5.5 Points on Angle Bisectors9
Theorem 5.6 Incenter TheoremTheorem 5.7 Centroid TheoremTheorem 5.8 Exterior Angle Inequality TheoremTheorem 5.9Theorem 5.1010
Theorem 5.11 Triangle Inequality TheoremTheorem 5.12Corollary 5.1Theorem 5.13 SAS Inequality/Hinge TheoremTheorem 5.14 SSS Inequality11
CHAPTER 6 QUADRILATERALSTheorem 6.1 Interior Angle Sum TheoremTheorem 6.2 Exterior Angle Sum TheoremTheorems 6.3 - 6.612
Theorem 6.7Theorem 6.8Theorems 6.9 – 6.12 Proving Parallelograms13
Theorem 6.13Theorem 6.14Theorems 6.15 – 6.17 RhombusTheorem 6.18 and 6.19 Isosceles Trapezoid14
Theorem 6.20CHAPTER 7 Proportions and similarityPostulate 7.1 Angle-Angle (AA) SimilarityTheorem 7.1 and 7.2Theorem 7.315
Theorem 7.4 Triangle Proportionality TheoremTheorem 7.5 Converse of the Triangle Proportionality TheoremTheorem 7.6 Triangle Midsegment TheoremCorollaries 7.1 and 7.216
Theorem 7.7 Proportional Perimeters TheoremTheorem 7.8 – 7.10 Special Segments of Similar TrianglesTheorem 7.11 Angle Bisector Theorem17
CHAPTER 8 RIGHT TRIANGLES AND TRIGONOMETRYTheorem 8.1Theorem 8.2Theorem 8.3Theorem 8.4 Pythagorean TheoremTheorem 8.5 Converse of the Pythagorean Theorem18
Theorem 8.6Theorem 8.7Theorem 8.8 Law of SinesTheorem 8.9 Law of Cosines19
CHAPTER 9 TRANSFORMATIONSTheorem 9.1 and Corollary 9.1Theorem 9.2Theorem 9.3CHAPTER 10 CIRCLESTheorem 10.1Postulate 10.1 Arc Addition Postulate20
Theorem 10.2Theorem 10.3Theorem 10.4Theorem 10.5 Inscribed Angle Theorem21
Theorem 10.6Theorem 10.7Theorem 10.8Theorem 10.9Theorem 10.10Theorem 10.1122
Theorem 10.12Theorem 10.13Theorem 10.1423
Theorem 10.15Theorem 10.16Theorem 10.17CHAPTER 11 AREA OF POLYGONS AND CIRCLESPostulate 11.1Postulate 11.224
CHAPTER 13 VOLUMETheorem 13.125
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
For the formal definition of Boolean algebra, we shall employ the postulates formulated by E.V. Huntington in 1904. Fundamental postulates of Boolean algebra: The postulates of a mathematical system forms the basic assumption from which it is possible to deduce the
Name _ 1 Geometry 1 Chapter 1 – Tools For Geometry Terms, Postulates and Theorems 1.1 Undefined terms in geometry: point, line, and plane iff Point indicates a location. It has no dimension, is represented by a dot. Line is represented by a straight path that extends
The Postulates of Quantum Mechanics A) Observables To any observable, or measurable quantity A, in Quantum Mechanics corresponds a linear Hermitian operator Ö A If one performs a measurement of , only eigenvalues a i of the operator Ö A can be obtained Operators in quantum mechanics are
Chapter 5 Congruence Postulates &Theorems -Δ’s In math, the word congruent is used to describe objects that have the same size and shape. When you traced thin
Lesson 2 State and illustrate the SAS, ASA, and SSS Congruence Postulates. Lesson 3 Apply the postulates and theorems on triangle congruence to prove statements on congruences. Lesson 4 Apply triangle congruences to perpendicular bisector and angle bisector. Module MapModule Map Here is a simple map of the lessons that will be covered in this .
Classical thermodynamics, the subject of Unit 1, proposes to show how one can determine the relations between such macroscopic properties, if one accepts a few fundamental postulates about the behavior of such large degree of freedom systems. These postulates, inferred from experiments, are regarded as
For points, lines, and planes, you need to know certain postulates. Let’s examine the following postulates A through F. A. Through any two points there is exactly one line. B. Through any three non-collinear points there is exactly one plane. C. If two points lie in a plane, then the line containing tho
Quantum Mechanics has (roughly) 5 Postulates. They cannot be stated briefly; when stated clearly, they are rather long-winded. Compared to Classical Mechanics, quantum mechanics is an unwieldy beast – scary and ugly at first sight, but very, very powerful. As we go along, I will write the Postulates as clearly as I can, so that you know what is
