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Chapter One
Sec. 1-1 - Patterns
and Inductive Reasoning
Sec. 1-2 - Points, Lines, and Planes
Sec. 1-3 - Segments and Their Measures
Sec. 1-4 - Angles and Their Measures
Sec. 1-5 - Segments and
Angle Bisectors
Sec. 1-6 - Angle pair Relationships
Sec. 1-7 - Introduction to Perimeter, Circumference, and Area |
Chapter Two
Sec. 2-1 - Conditional
Statements
Sec. 2-2 - Definitions and Biconditional Statements
Sec. 2-3 - Deductive Reasoning
Sec. 2-4 - Reasoning with Properties from Algebra
Sec. 2-5 - Proving Statements about
Segments
Sec. 2-6 - Proving Statements about Angles |
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Chapter Three
Sec. 3-1 - Lines and Angles
Sec. 3-2 - Proof and Perpendicular Lines
Sec. 3-3
- Parallel Lines and Transversals
Sec. 3-4 - Proving Lines are Parallel
Sec. 3-5 - Using Properties of
Parallel Lines
Sec. 3-6 - Parallel Lines in the
Coordinate Plane
Sec. 3-7 - Perpendicular Lines in the
Coordinate Plane |
Chapter Four
Sec. 4-1 - Triangles and Angles
Sec. 4-2 - Congruence and Triangles
Sec. 4-3 - Proving Triangles are
Congruent: SSS and SAS
Sec. 4-4 - Proving
Triangles are Congruent: ASA and AAS
Sec. 4-5 - Using congruent Triangles
Sec. 4-6 - Isosceles, Equilateral, and Right
Triangles
Sec. 4-7 - Triangles and Coordinate Proof |
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Chapter Five
Sec. 5-1 - Perpendicular and
Bisectors
Sec. 5-2 - Bisectors of a Triangle
Sec. 5-3 - Medians and Altitudes of a
Triangle
Sec. 5-4 - Mid-Segments Theorem
Sec. 5-5 - Inequalities in OneTriangle
Sec. 5-6 - Indirect Proof and Inequalities in Two
triangles |
Chapter Six
Sec. 6-1 - Polygons
Sec. 6-2 - Properties of Parallelograms
Sec. 6-3 - Proving Quadrilaterals are
Parallelograms
Sec. 6-4 - Rhombuses, Rectangles, and
Squares
Sec. 6-5 - Trapezoids and Kites
Sec. 6-6 - Special Quadrilaterals
Sec. 6-7 - Areas of Triangles and
Quadrilaterals |
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Chapter Seven
Sec. 7-1 - Rigid motion in a
plane
Sec. 7-2 - Reflections
Sec. 7-3 - Rotations
Sec. 7-4 - Translations and vectors
Sec. 7-5 - Glide reflections and compositions
Sec. 7-6 - Frieze Patterns |
Chapter Eight
Sec. 8-1 - Ratio and
Proportion
Sec. 8-2
- Problem solving in Geometry with proportions
Sec. 8-3
- Similar polygons
Sec. 8-4 - similar triangles
Sec. 8-5 - Proving Triangles are
similar
Sec. 8-6 - Proportions and similar
triangles
Sec. 8-7 - Dilations |
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Chapter Nine
Sec. 9-1 - Similar right
triangles
Sec. 9-2
- The Pythagorean theorem
Sec. 9-3
- The converse of the Pythagorean theorem
Sec. 9-4 - Special right triangles
Sec. 9-5 - Trigonometric ratios
Sec. 9-6 - Solving right triangles
Sec. 9-7 - Vectors |
Chapter Ten
Sec. 10-1 - Tangents
to circles
Sec. 10-2
- Arcs and chords
Sec. 10-3 - Inscribed angles
Sec. 10-4 - Other angle
relationships in circles
Sec. 10-5 - Segment lengths in
circle
Sec. 10-6 - Equations of circles
Sec. 10-7 - Locus |
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Chapter Eleven
Sec. 11-1 - Angle measures in
polygons
Sec.
11-2 - Areas of Regular Polygons
Sec. 11-3 - Perimeters and
Areas of Similar Figures
Sec. 11-4 - Circumference and Arc
length
Sec. 11-5 - Areas of Circles and Sectors
Sec. 11-6 - Geometric Probability |
Chapter Twelve
Sec. 12-1 - Exploring Solids
Sec.
12-2 - Surface Area of Prism and Cylinders
Sec. 12-3 - Surface Area of pyramids
and Cones
Sec. 12-4 - Volume of Prisms and Cylinders
Sec. 12-5 - Volume of Pyramids and Cones
Sec. 12-6 - Surface Area and Volume of Spheres
Sec. 12-7 - Similar Solids |
