Introduction
1 Nature of Deductive Reasoning
- Drawing Conclusions
- Conditional Statements
- Equivalent Statements
- Definitions
- Valid and Invalid Deducations
- Arguments with Two Premises
- Direct Proof: Arguments with Several Premises
- Indirect Proof
- A Deductive System
Algebra Review
Test
2 Points, Lines and Planes
- Points, Lines and Planes
- The Ruler Postulate
- Properties of Equality
- Betweenness of Points
- Line Segments
- Polygons
Algebra Review
Test
3 Rays and Angles
- Rays and Angles
- The Protractor Postulate
- Betweenness of Rays
- Complementary and Supplementary Angles
- Linear Pairs and Vertical Angles
- Parallel and Perpendicular Lines
Algebra Review
Test
4 Congruent Triangles
- Triangles
- Congruent Polygons
- Proving Triangles Congruent
- Proving Corresponding Parts Equal
- The Isoceles Triangle Theorem
- The SSS Congruence Theorem
- Constructions
- More Constructions
Summary and Review
Algebra Review
Test
5 Inequalities
- Properties of Inequality
- The Exterior Angle Theorem
- Triangle Side and Angle Inequalities
- The Triangle Inequality Theorem
Summary and Review
Algebra Review
Test
6 Parallel Lines
- Proving Lines Parallel
- PErpendicular Lines
- The Parallel Postulate
- Some Consequences of the Parallel Postulate
- More on Distance
- The Angles of a Triangle
- Two More Ways to Prove Triangles Congruent
Summary and Review
Algebra Review
Test
7 Quadrilaterals
- Quadrilaterals
- Parallelograms
- Quadrilaterals that are Parallelograms
- Rectangles, Rhombuses, and Squares
- Trapezoids
- The Midsegment Theorem
Summary and Review
Algebra Review
Test
8 Transformations
- Reflections
- Properties of Isometrics
- Translations
- Rotations
- Congruence and Isometrcs
- Symmetry
Summary and Review
Algebra Review
Test
Midterm Review
Some Resources for Review and Practice:
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