##### Unit 1 – Basics of Geometry

- Points, Lines, and Planes
- Measuring and Constructing Segments
- Using Midpoint Formulas
- Perimeter and Area in the Coordinate Plane
- Measuring and Constructing Angles

##### Unit 2 – Reasoning and Proofs

- Conditional Statements
- Inductive and Deductive Reasoning
- Postulates and Diagrams
- Algebraic Reasoning
- Proving Statements about Segments and Angles
- Proving Geometric Relationships

##### Unit 3 – Parallel and Perpendicular lines

- Pairs of Lines and Angles
- Parallel Lines and Transversals
- Proofs with Parallel Lines
- Proofs with Perpendicular Lines
- Slopes of Lines
- Equations of Parallel and Perpendicular Lines

##### Unit 4 – Transformations

- Translations
- Reflections
- Rotations
- Congruence and Transformations
- Dilations
- Similarity and Transformations

##### Unit 5 – Congruent Triangles

- Angles of Triangles
- Congruent Polygons
- Proving Triangle Congruence by SAS
- Equilateral and Isosceles Triangles
- Proving Triangle Congruence by SSS
- Proving Triangle Congruence by ASA, AAS
- Using Congruent Triangles
- Coordinate Proofs

##### Unit 6 – Relationships with Triangles

- Perpendicular and Angle Bisectors
- Bisectors of Triangles
- Medians and Altitudes of Triangles
- The Triangle Midsegment Theorem
- Indirect Proof and Inequalities in One Triangle
- Inequalities in Two Triangles

##### Unit 7 – Quadrilaterals and Other Polygons

- Angles of Polygons
- Properties of Parallelograms
- Proving that a Quadrilateral is a Parallelogram
- Properties of Special Parallelograms
- Properties of Trapezoids and Kites

##### Unit 8 – Similarity

- Similar Polygons
- Proving Triangle Similarity by AA
- Proving Triangle Similarity by SSS and SAS
- Proprotionality Theorems

##### Unit 9 – Right Triangles and Trigonometry

- The Pythagorean Theorem
- Special Right Triangles
- Similar Right Triangles
- The Tangent Ratio
- The Sine and Cosine Ratios
- Solving Right Triangles
- Law of Sines and Law of Cosines

##### Unit 10 – Circles

- Lines and Segments that Intersect Circles
- Finding Arc Measures
- Using Chords
- Inscribed Angles and Polygons
- Angle Relationships in Circles
- Segment Relationships in Circles
- Circles in the Coordinate Plane

##### Unit 11 – Circumference and Area

- Circumference and Arc Length
- Areas of Circles and Sectors
- Areas of Polygons and Composite Figures
- Effects of Changing Dimensions

##### Unit 12 – Surface Area and Volume

- Three-Dimensional Figures
- Surface Area of Prisms and Cylinders
- Surface Area of Pyramids and Cones
- Volumes of Pyramids and Cylinders
- Volumes of Pyramids and Cones
- Surface Areas and Volumes of Spheres

##### Unit 13 – Probability

- Sample Spaces and Probability
- Independent and Dependent Events
- Two-Way Tables and Probability
- Probability of Disjoint and Overlapping Events
- Permutations and Combinations