Applied Geometry
Chapter 0 - Preparing for Geometry
Algebraic Expressions
Linear Equations
Linear Inequalities
Ordered Pairs
Systems of Linear Equations
Square Roots and Simplifying Radicals
Chapter 1 - Tools of Geometry
Points, Lines, and Planes
Linear Measure and Precision
Distance and Midpoints
Angle Measure
Angle Relationships
Two-Dimensional Figures
Three-Dimensional Figures
Chapter 2 - Reasoning and Proof
Postulates and Paragraph Proofs
Algebraic Proofs
Proving Segment Relationships
Proving Angle Relationships
Chapter 3 - Parallel and Perpendicular Lines
Parallel Lines and Transversals
Angles and Parallel Lines
Slopes of Lines
Equations of Lines
Proving Lines Parallel
Chapter 4 - Congruent Triangles
Classifying Triangles
Angles of Triangles
Congruent Triangles
Proving Congruence: SSS, SAS
Proving Congruence: ASA, AAS
Isosceles and Equilateral Triangles
Congruence Transformations
Triangles and Coordinate Proofs
Chapter 5 - Relationships in Triangles
Bisectors of Triangles
Medians and Altitudes of Triangles
Inequalities in One Triangle
The Triangle Inequality
Inequalities in Two Triangles
Chapter 6 - Quadrilaterals
Angles of Polygons
Parallelograms
Tests for Parallelograms
Rectangles
Rhombi and Squares
Kites and Trapezoids
Chapter 7 - Proportions and Similarity
Ratios and Proportions
Similar Polygons
Similar Triangles
Parallel Lines and Proportional Parts
Parts of Similar Triangles
Similarity Transformations
Scale Drawings and Model