Geometry Contents

  Students are required to read and take notes on each section assigned.

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Click on a section. 

Sections

• 1-1   Patterns and Inductive Reasoning
• 1-2   Points Lines and Planes 
• 1-3   Segments, Rays, Parallel Lines and Planes 
• 1-4  Measuring Segments and Angles
• 1-5  Basic Constructions
• 1-6  The Coordinate Plane
• 1-7 Perimeter, Circumference, and Area

Chapter 2  Reasoning and Proof

Sections

• 2-1  Conditional Statements
• 2-2  Biconditionals and Definitions
• 2-3  Deductive Reasoning
• 2-4  Reasoning in Algebra
• 2-5  Proving Angles Congruent

Chapter 3   Parallel and Perpendicular Lines

Sections

• 3-1  Properties of Parallel Lines
• 3-2  Proving Lines Parallel
• 3-3  Parallel Lines and the Triangle-Sum Theorem
• 3-4  The Polygon Angle-Sum Theorem
• 3-5  Lines in the Coordinate Plane
• 3-6 Slopes of Parallel and Perpendicular Lines
• 3-7  Constructing Parallel and Perpendicular Lines

Chapter 4   Congruent Triangles

Sections

• 4-1  Congruent Figures
• 4-2  Triangle Congruence by SSS and SAS
• 4-3  Triangle Congruence by ASA and AAS
• 4-4  Using Congruent Triangles: CPCTC
• 4-5  Isosceles and Equilateral Triangles
• 4-6  Congruence in Right Triangles
• 4-7 Using Corresponding Parts of Congruent Triangles

Chapter 5   Relationships Within Triangles

Sections

• 5-1  Midsegments of Triangles
• 5-2 Bisectors in Triangles
• 5-3  Concurrent Lines, Medians, and Altitudes
• 5-4  Inverse, Contrapositive, and Indirect Reasoning
• 5-5  Inequalities in Triangles

Chapter 6   Quadrilaterals

Sections

• 6-1 Classifying Quadrilaterals
• 6-2  Properties of Parallelograms
• 6-3  Proving That a Quadrilateral is a Parallelogram
• 6-4  Special Parallelograms
• 6-5  Trapezoids and Kites
• 6-6  Placing Figures in the Coordinate Plane
• 6-7 Proofs Using Coordinate Geometry

Chapter 7   Area

• 7-1  Areas of Parallelograms and Triangles
• 7-2 The Pythagorean Theorem and Its Converse
• 7-3 Special Right Triangles
• 7-4  Areas of Trapezoids, Rhombuses, and Kites
• 7-5 Areas of Regular Polygons
• 7-6 Circles and Arcs
• 7-7 Areas of Circles and Sectors
• 7-8 Geometric Probability

Chapter 8   Similarity

Sections

• 8-1  Ratio and Proportions
• 8-2  Similar Polygons
• 8-3  Proving Triangles Similar
• 8-4  Similarity in Right Triangles
• 8-5  Proportions in Triangles
• 8-6 Perimeters and Areas of Similar Figures

Chapter 9   Right Triangle Trigonometry

Sections

• 9-1 The Tangent Ratio
• 9-2  Sine and Cosine Ratios
• 9-3  Angles of Elevation and Depression
• 9-4  Vectors
• 9-5  Trigonometry and Area

Chapter 10   Surface Area and Volume

Sections

• 10-1  Space Figures and Nets
• 10-2  Space Figures and Drawings
• 10-3  Surface Areas of Prisms and Cylinders
• 10-4  Surface Areas of Pyramids and Cones
• 10-5  Volume of Prisms and Cylinders
• 10-6  Volumes of Pyramids and Cones
• 10-7  Surface Areas and Volumes of Spheres
• 10-8 Areas and Volumes of Similar Solids

Chapter 11   Circles

Sections

• 11-1  Tangent Lines
• 11-2  Chords and Arcs
• 11-3  Inscribed Angles
• 11-4  Angle Measures and Segments Lengths
• 11-5  Circles in the Coordinate Plane
• 11-6  Locus: A Set of Points

Chapter 12   Transformation

Sections

• 12-1  Reflections
• 12-2  Translations
• 12-3 Rotations
• 12-4  Compositions of Reflections
• 12-5  Symmetry
• 12-6  Tessellations and Dilations
• 12-7  Dilations