Maintaining Mathematical Proficiency

1.1 Points, Lines, and Planes

1.2 Measuring and Constructing Segments

1.3 Using Midpoint and Distance Formulas

1.4 Perimeter and Area in the Coordinate Plane

1.5 Measuring and Constructing Angles

1.6 Describing Pairs of Angles

2.0 Mathematical Practice

2.1 Conditional Statements

2.2 Inductive and Deductive Reasoning

2.3 Postulates and Diagrams

2.4 Algebraic Reasoning

2.5 Proving Statements about Segments and Angles

2.6 Proving Geometric Relationships

3.0 Mathematical Practice

3.1 Pairs of Lines and Angles

3.2 Parallel Lines and Transversals

3.3 Proofs with Parallel Lines

3.4 Proofs with Perpendicular Lines

3.5 Equations of Parallel and Perpendicular Lines

4.1 Translations

4.2 Reflections

4.3 Rotations

4.4 Congruence and Transformations

4.5 Dilations

4.6 Similarity and Transformations

5.1 Angles of Triangles

5.2 Congruent Polygons

5.3 Proving Triangle Congruence by SAS

5.4 Equilateral and Isosceles Triangles

5.5 Proving Triangle Congruence by SSS

5.6 Proving Triangle Congruence by ASA and AAS

5.7 Using Congruent Triangles

5.8 Coordinate Proofs

6.1 Perpendicular and Angle Bisectors

6.2 Bisectors of Triangles

6.3 Medians and Altitudes of Triangles

6.4 The Triangle Midsegment Theorem

6.5 Indirect Proof and Inequalities in One Triangle

6.6 Inequalities in Two Triangles

7.1 Angles of Polygons

7.2 Properties of Parallelograms

7.3 Proving That a Quadrilateral is a Parallelogram

7.4 Properties of Special Parallelograms

7.5 Properties of Trapezoids and Kites

8.1 Similar Polygons

8.2 Proving Triangle Similarity by AA

8.3 Proving Triangle Similarity by SSS and SAS

8.4 Proportionality Theorems

9.1 The Pythagorean Theorem

9.2 Special Right Triangles

9.3 Similar Right Triangles

9.4 The Tangent Ratio

9.5 The Sine and Cosine Ratios

9.6 Solving Right Triangles

9.7 Law of Sines and Law of Cosines

10.1 Lines and Segments That Intersect Circles

10.2 Finding Arc Measures

10.3 Using Chords

10.4 Inscribed Angles and Polygons

10.5 Angle Relationships in Circles

10.6 Segment Relationships in Circles

10.7 Circles in the Coordinates Plane

11.1 Circumference and Arc Length

11.2 Areas of Circles and Sectors

11.3 Areas of Polygons

11.4 Three-Dimensional Figures

11.5 Volumes of Prisms and Cylinders

11.6 Volumes of Pyramids

11.7 Surface Areas and Volumes of Cones

11.8 Surface Areas and Volumes of Spheres

12.1 Sample spaces and Probability

12.2 Independent and Dependent Events

12.3 Two-Way Tables and Probability

12.4 Probability of Disjoint and Overlapping Events

12.5 Permutations and Combinations

12.6 Binomial Distributions