Geometry

__Tools of Geometry__

1-1 Patterns and Inductive Reasoning

1-2 Drawings, Nets, and Other Models

1-3 Points, Lines, and Planes

1-4 Segments, Rays, Parallel Lines and Planes

1-5 Measuring Segments

1-6 Measuring Angles

1-7 Basic Constructions

1-8 The Coordinate Plane

1-9 Perimeter, Circumference, and Area

__Reasoning & Proof__

2-1 Conditional Statements

2-2 Biconditionals and Definitions

2-3 Deductive Reasoning

2-4 Reasoning in Algebra

2-5 Proving Angles Congruent

__Parallel and Perpendicular Lines__

3-1 Properties of Parallel Lines

3-2 Proving Lines Parallel

3-3 Parallel and Perpendicular Lines

3-4 Parallel Lines and the Triangle Angle-Sum Theorem

3-5 The Polygon Angle-Sum Theorems

3-6 Lines in the Coordinate Plane

3-7 Slopes of Parallel and Perpendicular Lines

3-8 Constructing Parallel and Perpendicular Lines

__Congruent Triangles__

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

__Relationships Within Triangles__

5-1 Midsegments of Triangles

5-2 Bisectors in Triangles

5-3 Concurrent Lines, Medians, and Altitudes

5-4 Inverses, Contrapositives, and Indirect Reasoning

5-5 Inequalities in Triangles

__Quadrilaterals__

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

__Similarity__

7-1 Ratios and Proportions

7-2 Similar Polygons

7-3 Proving Triangles Similar

7-4 Similarity in Right Triangles

7-5 Proportions in Triangles

__Right Triangles and Trigonometry__

8-1 The Pythagorean Theorem and Its Converse

8-2 Special Right Triangles

8-3 The Tangent Ratio

8-4 Sine and Cosine Ratios

8-5 Angles of Elevation and Depression

8-6 Vectors

__Transformations__

9-1 Translations

9-2 Reflections

9-3 Rotations

9-4 Symmetry

9-5 Dilations

9-6 Compositions of Reflections

9-7 Tessellations

__Area__

10-1 Areas of Parallelograms and Triangles

10-2 Areas of Trapezoids, Rhombuses, and Kites

10-3 Area of Regular Polygons

10-4 Perimeters and Areas of Similar Figures

10-5 Trigonometry and Area

10-6 Circles and Arcs

10-7 Areas of Circles and Sectors

10-8 Geometric Probability

__Surface Area & Volume__

11-1 Space Figures and Cross Sections

11-2 Surface Areas of Prisms and Cylinders

11-3 Surface Areas of Pyramids and Cones

11-4 Volumes of Prisms and Cylinders

11-5 Volume of Pyramids and Cones

11-6 Surface Areas and Volumes of Spheres

11-7 Areas and Volumes of Similar Solids

__Circles__

12-1 Tangent Lines

12-2 Chords and Arcs

12-3 Inscribed Angles

12-4 Angle Measures and Segment Lengths

12-5 Circles in the Coordinate Plane

12-6 Locus: A Set of Points