Appendix B List of Principles
1.1 Invitation to Explore
Principle 1.1.3 Additivity of Area
1.2 Invitation to Apply Knowledge
Principle 1.2.1 Additivity of Length
Principle 2.0.3 Area of Congruent Polygons
2.2 Exploring Angle Measure
Principle 2.2.13 Additivity of Angle Measure
2.3 What Does Parallel Mean?
Principle 2.3.3 Playfair’s Parallel Postulate
Principle 2.3.10 Alternate Interior Angles
Principle 2.3.11 Angle Sum of a Triangle
Principle A.2.13 Closure of Addition and Multiplication on the Set of Real Numbers
Principle A.2.14 Commutative Laws
Principle A.2.15 Associative Laws
Principle A.2.16 The Distributive Law
Principle A.2.18 The Identity Properties
Principle A.2.19 The Inverse Properties
Principle A.3.20 Addition Principle of Equality
Principle A.3.21 Multiplication Principle of Equality
Principle A.3.22 Symmetry Property of Equality
Principle A.3.23 Transitive Property of Equality
Principle A.3.24 Multiplication by Zero
Principle A.3.25 Zero Product Property
Principle A.4.31 Inverse Property of Squares and Square Roots
Principle A.4.33 Exponents and Roots of Products and Quotients
