•  Chapter Objective Chapter 1Introducing Geometry Students will write their own definitions of many geometry terms and geometric figures.  Start a notebook with a list of all terms and definitions, and develop useful visual thinking skills. Chapter 2Reasoning In Geometry Perform geometry investigations and make many discoveries by observing common features or patterns.  Use your discoveries to solve problems through inductive reasoning.    Students will learn about vertical angles and linear pairs, make conjectures and learn to use deductive reasoning. Chapter 3Using Tools of Geometry Develop skills using a compass, straightedge, patty paper, and geometry software.  See how to create complex figures using these tools. Chapter 4Discovering and Proving Triangle Properties Learn why triangles are so useful in structures.  Discover relationships between the sides and angles of triangles.  Learn about conditions that guarantee that two triangles are congruent. Chapter 11Similarity Review ratio and proportion.  Define similar polygons and solids.  Discover shortcuts for similar triangles. Chapter 5Discovering and Proving Polygon Properties Study properties of convex polygons.  Discover relationships among their angles, sides, and diagonals.  Learn about real world applications of special polygons. Chapter 6Discovering and Proving Circle Properties Discover properties of tangent lines.  Learn relationships among chord, arcs and angles.  Learn how to calculate arc length.  Prove circle conjectures. Chapter 7Transformations and Tessellations Discover basic properties of transformations and symmetry.  Learn about symmetry in art and nature. Chapter 8Area Discover area formulas for geometric figures.  Use area formulas to solve problems.  Learn how to find surface areas of three dimensional shapes. Chapter 9 Pythagorean Theorem Explore the Pythagorean theorem and use it to calculate the distance between any two points. Chapter 10 Volume Explore, define and discover formulas for three dimensional solids. Chapter 12Trigonometry Define important ratios between the sides of a right triangle.  Use these trig ratios to solve problems involving right triangles.