Geometry
Jurgensen, Brown, Jurgensen
McDougal Littell/Houghton Mifflin
NutshellMath covers the following topics in this book:
Some Basic Figures; Points, Lines, and Planes
Definitions and Postulates; Segments, Rays, Distance, Angles, Postulates and Theorems Relating Points, Lines, and Planes
Using Deductive Reasoning; If-Then Statements, Converses, Proving Theorems
Theorems about Angles and Perpendicular Lines; Special Pairs of Angels, Perpendicular Lines, Planning a Proof
When Lines and Planes are Parallel; Properties of Parallel Lines, Proving Lines Parallel
Applying Parallel Lines to Polygons; Angles of a Triangle, Angles of a Polygon, Inductive Reasoning
Corresponding Parts in a Congruence; Congruent Figures, Some Ways to Prove Triangles Congruent, Using Congruent Triangles
Some Theorems Based on Congruent Triangles; The Isosceles Triangle Theorems
More about Proof in Geometry; Using More than One Pair of Congruent Triangles, Medians, Altitudes, and Perpendicular Bisectors
Parallelograms; Properties, Theorems, and Ways to Prove Quadrilaterals are Parallelograms
Special Quadrilaterals; Special Parallelograms, Trapezoids
Inequalities and Indirect Proof; Inverse and Contrapositives
Inequalities in Triangles; Inequalities for One or Two Triangles
Ratio, Proportion, and Similarity
Working with Similar Triangles; Postulates for Similar Triangles, Theorems for Similar Triangles, Proportional Lengths
Right Triangles; Similarity in Right Triangles, The Pythagorean Theorem and Its Converse, Special Right Triangles
Trigonometry; The Tangent Ratio, The Sine and Cosines Ratios, Applications of Right Triangle Trigonometry
Tangents, Arcs, and Chords; Arcs and Central Angles, Arcs and Chords
Angles and Segments; Inscribed Angles, Other Angles, Circles and Lengths of Segments
Basic Constructions; Perpendiculars and Parallels, Concurrent Lines
More Constructions; Circles, Special Segments
Locus; Locus Problems, Locus and Construction
Areas of Polygons; Rectangles, Parallelograms, Triangles, Rhombuses, Trapezoids, Regular Polygons
Circles, Similar Figures, and Geometric Probability; Circumference and Area of Circles, Arc Lengths and Areas of Sectors, Ratios of Areas, Geometric Probability
Important Solids; Prisms, Pyramids, Cylinders, and Cones
Similar Solids; Spheres, Areas and Volumes of Similar Solids
Geometry and Algebra; The Distance Formula, Slope of a Line, Parallel and Perpendicular Lines, Vectors, The Midpoint Formula
Lines and Coordinate Geometry Proofs; Graphing Linear Equations, Writing Linear Equations, Organizing Coordinate Proofs, Coordinate Geometry Proofs
Basic Mappings; Reflections, Translations and Glide Reflections, Rotations, Dilations
Composition and Symmetry; Composites of Mappings, Inverses and the Identity, Symmetry in the Plane and in Space
Jurgensen, Brown, Jurgensen
McDougal Littell/Houghton Mifflin
NutshellMath covers the following topics in this book:
Some Basic Figures; Points, Lines, and Planes
Definitions and Postulates; Segments, Rays, Distance, Angles, Postulates and Theorems Relating Points, Lines, and Planes
Using Deductive Reasoning; If-Then Statements, Converses, Proving Theorems
Theorems about Angles and Perpendicular Lines; Special Pairs of Angels, Perpendicular Lines, Planning a Proof
When Lines and Planes are Parallel; Properties of Parallel Lines, Proving Lines Parallel
Applying Parallel Lines to Polygons; Angles of a Triangle, Angles of a Polygon, Inductive Reasoning
Corresponding Parts in a Congruence; Congruent Figures, Some Ways to Prove Triangles Congruent, Using Congruent Triangles
Some Theorems Based on Congruent Triangles; The Isosceles Triangle Theorems
More about Proof in Geometry; Using More than One Pair of Congruent Triangles, Medians, Altitudes, and Perpendicular Bisectors
Parallelograms; Properties, Theorems, and Ways to Prove Quadrilaterals are Parallelograms
Special Quadrilaterals; Special Parallelograms, Trapezoids
Inequalities and Indirect Proof; Inverse and Contrapositives
Inequalities in Triangles; Inequalities for One or Two Triangles
Ratio, Proportion, and Similarity
Working with Similar Triangles; Postulates for Similar Triangles, Theorems for Similar Triangles, Proportional Lengths
Right Triangles; Similarity in Right Triangles, The Pythagorean Theorem and Its Converse, Special Right Triangles
Trigonometry; The Tangent Ratio, The Sine and Cosines Ratios, Applications of Right Triangle Trigonometry
Tangents, Arcs, and Chords; Arcs and Central Angles, Arcs and Chords
Angles and Segments; Inscribed Angles, Other Angles, Circles and Lengths of Segments
Basic Constructions; Perpendiculars and Parallels, Concurrent Lines
More Constructions; Circles, Special Segments
Locus; Locus Problems, Locus and Construction
Areas of Polygons; Rectangles, Parallelograms, Triangles, Rhombuses, Trapezoids, Regular Polygons
Circles, Similar Figures, and Geometric Probability; Circumference and Area of Circles, Arc Lengths and Areas of Sectors, Ratios of Areas, Geometric Probability
Important Solids; Prisms, Pyramids, Cylinders, and Cones
Similar Solids; Spheres, Areas and Volumes of Similar Solids
Geometry and Algebra; The Distance Formula, Slope of a Line, Parallel and Perpendicular Lines, Vectors, The Midpoint Formula
Lines and Coordinate Geometry Proofs; Graphing Linear Equations, Writing Linear Equations, Organizing Coordinate Proofs, Coordinate Geometry Proofs
Basic Mappings; Reflections, Translations and Glide Reflections, Rotations, Dilations
Composition and Symmetry; Composites of Mappings, Inverses and the Identity, Symmetry in the Plane and in Space