Geometry B

2008/2009 School Year

Course Outline

Fall Semester:

Chapter 1: Points, Lines, Planes, and Angles

Topics Covered: Points, Lines, Planes, Segments, Rays, Distance

Chapter 2: Deductive Reasoning

Topics Covered: If-Then Statements, Converses, Properties Used in Proofs, Angle Pairs, Perpendicular Lines, Planning a Proof

Chapter 3: Parallel Lines and Planes

Topics Covered: Properties of Parallel Lines, Proving Lines Parallel, Angles of Triangles, Angles of Polygons

Chapter 4: Congruent Triangles

Topics Covered: Congruence, Proving Triangles Congruent, Using Congruent Triangles in Proofs, the Isosceles Triangle Theorems, Medians, Altitudes, and Perpendicular Bisectors

Chapter 5: Quadrilaterals

Topics Covered: Properties of Parallelograms, Proofs Involving Parallelograms, Theorems Involving Parallel Lines, Rectangles, Rhombuses, Squares, Trapezoids

Chapters 6 and 7: Inequalities in Geometry; Similar Polygons

Topics Covered: Inequalities in Triangles, Ratio and Proportion, Similar Polygons

Spring Semester:

Chapter 8: Right Triangles

Topics Covered: Similarity in Right Triangles, the Pythagorean Theorem, Special Right Triangles, Right Triangle Trigonometry

Chapter 9: Circles

Topics Covered: Tangents, Arcs, Chords, Central Angles, Inscribed Angles, Segments in Circles

Chapter 11: Areas of Plane Figures

Topics Covered: Areas of Rectangles, Parallelograms, Triangles, Rhombuses, Trapezoids, and Regular Polygons, Circumferences and Areas of Circles, Arc Lengths and Sector Area

Chapter 12: Areas and Volumes of Solids

Topics Covered: Areas and Volumes of Prisms, Pyramids, Cylinders, Cones, Spheres, Similar Solids

Chapter 13: Coordinate Geometry

Topics Covered: Distance and Midpoint Formulas, Linear Equations, Vectors, Coordinate Geometry Proofs