Math 1312 Class Notes

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Chapter 1: Line and Angle Relationships

1.1 Sets, Statements, and Reasoning
1.1
1.2 Informal Geometry and Measurement;

1.3 Early Definitions and Postulates;

1.4 Angles and Their Relations

1.2; 1.3, and 1.4
1.5 Introduction to Geometric Proof
1.5
1.6 Relationships: Perpendicular Lines
1.6
1.7 The Formal Proof of a Theorem
1.7
Chapter 2: Parallel Lines

2.1 The Parallel Lines and Special Angles
2.1
2.2 Indirect Proof
2.2
2.3 Proving Lines Parallel
2.3
2.4 The angles of a Triangle
2.4
2.5 Convex Polygons
2.5
2.6 Symmetry and Transformations
2.6
Test 1 (Chapter 1 and Chapter 2)

Test 1 Review
Test 1 Review
Chapter 3: Triangles

3.1 Congruent Triangles
3.1
3.2 Corresponding Parts of Congruent Triangles
3.2
3.3 Isosceles Triangles
3.3
3.5 Inequalities in Triangles
3.5
Chapter 4: Quadrilaterals

4.1 Properties of Parallelogram
4.1
4.2 The parallelogram and Kite
4.2
4.3 The rectangle, Square, and Rhombus
4.3
4.4 The Trapezoid
4.4
Test 2 (Chapter 3 and Chapter 4)

Test 2 Review
Test 2 Review
Chapter 5: Similar Triangles

5.1 Ratios, Rates, and Proportions
5.1
5.2 Similar Polygons
5.2
5.3 Proving Triangles Similar
5.3
5.4 The Pythagorean Theorem
5.4
5.5 Special Right Triangles
5.5
5.6 Segments Divided Proportionally
5.6
Chapter 6: Circles

6.1 Circles and Related Segments and Angles
6.1
6.2 More Angle Measures in a Circle
6.2
6.3 Line and Segment Relationships in the Circle
6.3
Test 3 (Chapter 5 and Chapter 6)
Test 3 Review
Test 3 Review
Chapter 8: Areas of Polygons and Circles

8.1 Area and Initial Postulates;
8.2 Perimeter and Area of Polygons
8.1 and 8.2
8.3 Regular Polygons and Area
8.3
8.4 Circumference and Area of a Circle
8.4
Final Exam (Cumulative)

Final Exam Review
Final Exam Review