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Cube Solids of Revolution

 
1

Logic

  • Sentences, Statements and Truth Values (2.1)
  • Conjunctions (2.2)
  • Disjunctions (2.3)
  • Conditionals (2.4)
  • Inverses, Converses and Contrapositives (2.5)
  • Biconditionals (2.6)
  • Truth Tables, Tautologies and Logically Equivalent Statements (A1.4)
  • The Laws of Logic (2.7)
  • Law of Modus Tollens (A1.7)
  • Invalid Arguments (A1.8)
  • Chain Rule (A1.9)
  • Drawing Conclusions (2.8)
  • Logic Proofs (A1.13)
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2

Introduction and Definitions of Geometric Terms

  • Undefined Terms (1.1)
  • Points, Lines and Planes (11.1)
  • Perpendicular Lines and Planes (11.2)
  • Parallel Lines and Planes (11.3)
  • The Real Numbers and their Properties (1.2)
  • Definitions, Lines and Line Segments (1.3)
  • Midpoints and Bisectors (1.4)
  • Rays and Angles (1.5)
  • More Angle Definitions (1.6)
  • Triangles (1.7)
  • The Sum of the Measures of the Angles of a Triangle ( 9.4)
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3

Introduction To Proof

  • Inductive Reasoning (3.1)
  • Definitions as Biconditionals (3.2)
  • Deductive Reasoning (3.3)
  • Direct and Indirect Proofs (3.4)
  • Postulates, Theorems and Proof (5.5)
  • The Substitution Postulate (3.6)
  • The Addition and Subtraction Postulates (3.7)
  • The Multiplication and Division Postulates (3.8)
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4

Triangles and Congruence

  • The Sum of the Measures of the Angles of a Triangle ( 9.4)
  • Isosceles and Equilateral Triangles (5.3)
  • Congruent Polygons and Corresponding Parts (4.4)
  • Proving Triangles Congruent Using SAS (4.5)
  • Proving Triangles Congruent Using ASA (4.6)
  • Proving Triangles Using SSS (4.7)
  • Proving Triangle Congruent Using AAS ( 9.5)
  • Proving Right Triangles Congruent by HL (9.7)
  • The Converse of the Isosceles Triangle Theorem (9.6)
  • Using Congruent Triangles to Prove Line Segments Congruent and Angles Congruent (5.2)
  • Using Two Pairs of Congruent Triangles ( 5.4)
  • Proving Overlapping Triangles Congruent (5.5)
  • Line Segments Associated with Triangles (5.1)
  • Perpendicular Bisector of a Line Segment (5.6)
  • Concurrence of the Altitudes of a Triangle (8.6)
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