Geometry: Applying, Reasoning, Measuring
Larson, Boswell, Stiff
McDougal Littell
NutshellMath covers the following topics in this book:
Patterns and Inductive Reasoning
Points, Lines and Planes
Segments and Their Measures
Angles and Their Measures
Angle Pair Relationships
Introduction to Perimeter, Circumference and Area
Conditional Statements
Definitions and Biconditional Statements
Deductive Reasoning
Reasoning with Properties of Algebra
Proving Statements about Segments
Proving Statements about Angles
Lines and Angles
Proof and Perpendicular Lines
Parallel Lines and Transversals
Proving Lines are Parallel
Using Properties of Parallel Lines
Parallel Lines in the Coordinate Plane
Perpendicular Lines in the Coordinate Plane
Triangles and Angles
Congruence and Triangles
Proving Triangles Congruent: SSS, SAS, ASA, AAS
Using Congruent Triangles
Isosceles, Equilateral, and Right Triangles
Triangles and Coordinate Proof
Perpendiculars and Bisector
Bisectors, Medians, and Altitudes of a Triangle
Midsegment Theorem
Inequalities in One Triangle
Indirect Proof and Inequalities in Two Triangles
Polygons
Properties of Parallelograms
Proving Quadrilaterals are Parallelograms
Rhombuses, Rectangles and Squares
Trapezoids and Kites
Special Quadrilaterals
Areas of Triangles and Quadrilaterals
Rigid Motion in a Plane
Reflections and Rotations
Translations and Vectors
Glide Reflections and Compositions
Frieze Patterns
Ratio and Proportions
Problem Solving in Geometry with Proportions
Similar Polygons and Triangles
Proving Triangles are Similar
Proportions and Similar Triangles
Dilations
Similar Right Triangles
The Pythagorean Theorem, and its Converse
Special Right Triangles
Trigonometric Ratios
Solving Right Triangles
Vectors
Tangents to Circles
Arcs and Chords
Inscribed Angles and Other Angle Relationships in Circles
Segment Lengths in Circles
Equations of Circles
Locus
Angles Measures in Polygons
Areas of Regular Polygons
Perimeters and Areas of Similar Figures
Circumference and Arc Length
Areas of Circles and Sectors
Geometric Probability
Exploring Solids
Surface Area of Prisms, Cylinders, Pyramids and Cones
Volume of Prisms, Cylinders, Pyramids and Cones
Surface Area and Volume of Spheres
Similar Solids
Larson, Boswell, Stiff
McDougal Littell
NutshellMath covers the following topics in this book:
Patterns and Inductive Reasoning
Points, Lines and Planes
Segments and Their Measures
Angles and Their Measures
Angle Pair Relationships
Introduction to Perimeter, Circumference and Area
Conditional Statements
Definitions and Biconditional Statements
Deductive Reasoning
Reasoning with Properties of Algebra
Proving Statements about Segments
Proving Statements about Angles
Lines and Angles
Proof and Perpendicular Lines
Parallel Lines and Transversals
Proving Lines are Parallel
Using Properties of Parallel Lines
Parallel Lines in the Coordinate Plane
Perpendicular Lines in the Coordinate Plane
Triangles and Angles
Congruence and Triangles
Proving Triangles Congruent: SSS, SAS, ASA, AAS
Using Congruent Triangles
Isosceles, Equilateral, and Right Triangles
Triangles and Coordinate Proof
Perpendiculars and Bisector
Bisectors, Medians, and Altitudes of a Triangle
Midsegment Theorem
Inequalities in One Triangle
Indirect Proof and Inequalities in Two Triangles
Polygons
Properties of Parallelograms
Proving Quadrilaterals are Parallelograms
Rhombuses, Rectangles and Squares
Trapezoids and Kites
Special Quadrilaterals
Areas of Triangles and Quadrilaterals
Rigid Motion in a Plane
Reflections and Rotations
Translations and Vectors
Glide Reflections and Compositions
Frieze Patterns
Ratio and Proportions
Problem Solving in Geometry with Proportions
Similar Polygons and Triangles
Proving Triangles are Similar
Proportions and Similar Triangles
Dilations
Similar Right Triangles
The Pythagorean Theorem, and its Converse
Special Right Triangles
Trigonometric Ratios
Solving Right Triangles
Vectors
Tangents to Circles
Arcs and Chords
Inscribed Angles and Other Angle Relationships in Circles
Segment Lengths in Circles
Equations of Circles
Locus
Angles Measures in Polygons
Areas of Regular Polygons
Perimeters and Areas of Similar Figures
Circumference and Arc Length
Areas of Circles and Sectors
Geometric Probability
Exploring Solids
Surface Area of Prisms, Cylinders, Pyramids and Cones
Volume of Prisms, Cylinders, Pyramids and Cones
Surface Area and Volume of Spheres
Similar Solids