Elementary Geometry
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Ch. 1: Fundamental Elements
Section 1.1: Points, Lines, and Planes
Section 1.2: Segments and Angles
Section 1.3: Reasoning and Logic
Section 1.4: Justifications and First Theorems
Section 1.5: Perpendicular Lines
Ch. 1 Problem Set
Ch. 2: Congruent Triangles
Section 2.1: SSS and SAS
Section 2.2: ASA and AAS
Section 2.3: Isosceles Triangle and Auxiliary Lines
Section 2.4: Perpendicularity
Section 2.5: HL and ABC Theorem
Section 2.6: Overlapping Triangles
Ch. 2 Problem Set
Ch. 3: Parallelism
Section 3.1: Indirect Proof
Section 3.2: Proving Lines are Parallel
Section 3.3: Angles Associated with Parallel Lines
Section 3.4: Angles of a Triangle
Section 3.5: Angles of Polygons
Section 3.7: Inequalities in a Single Triangle
Ch. 3 Problem Set
Ch. 4: Parallelograms
Section 4.1: Parallelograms
Section 4.2: Proving a Quadrilateral is a Parallelogram
Section 4.3: Rhombuses, Rectangles and Squares
Section 4.4: Midline of a Triangle
Section 4.5: Trapezoids
Section 4.6: Concurrency
Ch. 4 Problem Set
Ch. 5: Similarity
Section 5.1: Proportions
Section 5.2: Similar Polygons
Section 5.3: Similar Triangles
Section 5.4: Proportional Lengths
Section 5.5: Other Triangle Similarities
Ch. 5 Problem Set
Ch. 6: Right Triangles
Section 6.1: The altitude to the Hypotenuse of a Right Triangle
Section 6.2: The Pythagorean Theorem
Section 6.3: The Converse of the Pythagorean Theorem
Section 6.4: Special Right Triangles
Section 6.5: Trigonometry
Section 6.6: Applications of Trigonometry
Ch. 6 Problem Set
Ch. 7: Circles
Section 7.1: Introduction and Basic Terms
Section 7.2: Tangents to Circles
Section 7.3: Tangents with Two Circles
Section 7.4: Arcs and Chords
Section 7.5: Other Angles
Section 7.6: Tangents and Secants
Section 7.7: The Power of the Point
Ch. 7 Problem Set
Ch. 8: Area
Section 8.1: What is Area?
Section 8.2: Parallelograms and Triangles
Section 8.3: Trapezoids, Rhombuses, Kites, and Other Quadrilaterals
Section 8.4: Regular Polygons
Section 8.5: Circles
Section 8.6: Sectors and Segments of Circles
Section 8.7: Ratio of Areas
Ch. 8 Problem Set
Answers
Answers to Short and Numerical Problems