
Geometry (Glencoe Mathematics)
Boyd, Cummins, Malloy, Carter, Flores
Glencoe/McGraw-Hill
NutshellMath covers the following topics in this book:
Points, Lines, and Planes
Working with Lines; Linear Measure and Precision, Distance and Midpoints
Working with Angles; Angle Measure, Angle Relationships
Polygons
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Basics of Reasoning and Proof; Inductive Reasoning and Conjecture, Logic, Conditional Statements, Deductive Reasoning
Postulates and Paragraph Proofs
Algebraic Proofs
Applications of Proofs; Proving Segment Relationships, Proving Angle Relationships
Working with Parallel Lines; Parallel Lines and Transversals, Angles and Parallel Lines
Slopes and Equations of Lines
Proving Lines Parallel
Perpendiculars and Distance
Classifying Triangles
Angles of Triangles
Congruent Triangles
Proving Triangles Congruent: Using SSS, SAS, ASA, AAS
Isosceles Triangles
Tangents and Coordinate Proofs
Bisectors, Medians, and Altitudes
Inequalities and Triangles
Indirect Proof
The Triangle Inequality
Inequalities Involving Two Triangles
Proportions
Working with Similar Figures; Similar Polygons, Similar Triangles
Parallel Lines and Proportional Parts
Fractals and Self-Similarity
Geometric Mean
The Pythagorean Theorem and Its Converse
Trigonometry
Angles of Elevation and Depression
The Law of Sines and the Law of Cosines
Angles of Polygons
Types of Quadrilaterals; Parallelograms, Rectangles, Rhombi and Squares, Trapezoids, Kites
Coordinate Proof with Quadrilaterals
Working with Transformations; Reflections, Translations, Rotations, Tessellations, Dilations
Vectors
Transformations with Matrices
Circles and Circumference
Angles, Arcs and Chords
Inscribed Angles and Tangents
Secants, Tangents, and Angle Measures
Special Segments in a Circle
Equations of Circles
Areas of Parallelograms, Triangles, Trapezoids, and Rhombi
Areas of Regular Polygons and Circles
Areas of Irregular Figures
Geometric Probability
Three-Dimensional Figures, Nets, and Surface Area
Surface Area of Prisms, Cylinders, Pyramids and Cones
Surface Area of Spheres
Volumes of Prisms, Cylinders, Pyramids and Cones
Volumes of Spheres
Congruent and Similar Solids
Coordinates in Space