Unit 1 · 0/7 Foundations: Points, Lines and Angles
1.1 this Point, Line, Plane and Distance 1.2 opens Segments, Midpoints and Betweenness 1.3 opens Angles and Their Measure 1.4 Angle Pairs 1.5 opens Parallel Lines, Perpendicular Lines and Circles Defined 1.6 Conditionals, Converses and Two-Column Proofs 1.7 Proving Vertical Angles Congruent
Unit 2 · 0/7 Transformations
2.1 opens Transformations as Functions of the Plane 2.2 Translations 2.3 Reflections 2.4 Rotations 2.5 Rigid and Non-Rigid Transformations 2.6 Symmetry: Carrying a Figure onto Itself 2.7 Sequences of Transformations
Unit 3 · 0/5 Congruence
3.1 Congruence Defined by Rigid Motions 3.2 Corresponding Parts of Congruent Triangles 3.3 SAS, ASA and SSS from Rigid Motions 3.4 AAS, HL, and Why SSA Fails 3.5 Proving Triangles Congruent
Unit 4 · 0/8 Theorems About Lines and Triangles
4.1 Parallel Lines Cut by a Transversal 4.2 Proving Lines Parallel 4.3 The Perpendicular Bisector Theorem 4.4 The Triangle Angle Sum and Exterior Angles 4.5 Isosceles and Equilateral Triangles 4.6 The Triangle Midsegment Theorem 4.7 Medians and the Centroid 4.8 Bisectors, Altitudes and Triangle Centers
Unit 5 · 0/7 Quadrilaterals and Constructions
5.1 Properties of Parallelograms 5.2 Proving a Quadrilateral Is a Parallelogram 5.3 Rectangles, Rhombuses and Squares 5.4 Trapezoids and Kites 5.5 Constructions: Copying and Bisecting 5.6 Constructions: Perpendiculars and Parallels 5.7 Regular Polygons Inscribed in a Circle
Unit 6 · 0/8 Similarity
6.1 Dilations 6.2 Similarity Transformations 6.3 The AA Criterion 6.4 SAS and SSS Similarity 6.5 The Triangle Proportionality Theorem 6.6 The Pythagorean Theorem through Similarity 6.7 Similar Right Triangles and the Geometric Mean 6.8 Dividing a Segment in a Given Ratio
Unit 7 · 0/9 Trigonometry
7.1 Trigonometric Ratios from Similarity 7.2 Sine and Cosine of Complementary Angles 7.3 Special Right Triangles 7.4 Solving Right Triangles 7.5 Angles of Elevation and Depression 7.6 The Area of a Triangle: One Half ab sin C Honors Geometry 7.7 The Law of Sines Honors Geometry 7.8 The Ambiguous Case Honors Geometry 7.9 The Law of Cosines Honors Geometry
Unit 8 · 0/9 Coordinate Geometry
8.1 opens Distance and Midpoint Formulas 8.2 Slopes of Parallel and Perpendicular Lines 8.3 Perimeter and Area in the Coordinate Plane 8.4 Coordinate Proofs 8.5 The Equation of a Circle 8.6 Completing the Square for a Circle 8.7 The Parabola from Focus and Directrix 8.8 Ellipses Honors Geometry 8.9 Hyperbolas Honors Geometry
Unit 9 · 0/10 Circles
9.1 All Circles Are Similar 9.2 Chords, Arcs and Central Angles 9.3 Inscribed Angles 9.4 Tangent Lines 9.5 Quadrilaterals Inscribed in a Circle 9.6 Inscribed and Circumscribed Circles of a Triangle 9.7 Tangents from a Point Outside a Circle Honors Geometry 9.8 Arc Length and Radian Measure 9.9 The Area of a Sector 9.10 Secants, Tangents and the Power of a Point Honors Geometry
Unit 10 · 0/9 Measurement and Modeling
10.1 Circumference and Area of a Circle 10.2 Cavalieri's Principle, Prisms and Cylinders 10.3 Pyramids and Cones 10.4 The Volume of a Sphere Honors Geometry 10.5 Surface Area 10.6 Cross-Sections and Solids of Revolution 10.7 Modeling with Geometric Shapes 10.8 Density 10.9 Design Problems
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