Skip to content
Geometry Basics
- Euclidean Geometry
- Angles
- Polygons
- Area
Transformations
- Introduction to rigid transformations
- Translations
- Rotations
- Reflections
- Rigid Transformations Overview
- Dilations
- Properties and definitions of transformations
- Symmetry
Congruence
- Transformation and congruence
- Triangle Congruence
- Theorems concerning triangle properties
- Working with triangles
- Theorems concerning quadrilateral properties
- Proofs of general theorems that use triangle congruence
- Constructing bisectors of lines and angles
Similarity
- Definitions of similarity
- Introduction to triangle similarity
- Solving similar triangles
- Angle bisector theorem
- Solving problems with similar and congruent triangles
- Solving modeling problems with similar and congruent triangles
Right angles and trigonometry
- Pythagorean Theorem
- Pythagorean Theorem Proofs
- Special Right Triangles
- Trigonometric ratios
- Solving for a side in right triangle using trigonometric ratios
- Solving for an angle in a right triangle using trigonometric ratios
- Modeling with right triangles
- Trigonometric ratios and similarity
- Sine and cosine of complementary angles
- Law of sines
- Law of cosines
- Solving general triangles
Solid Geometry
- Solid geometry
- Density
- 2d vs 3d objects
Analytic Geometry
- Distance and midpoints
- Dividing line segments
- Problem-solving with distance on the coordinate plane
- Parallel and perpendicular lines on the coordinate plane
- Equations of parallel and perpendicular lines
Circles
- Circle basics
- Arc measure
- Arc length from degrees
- Radians
- Arc length
- Sectors
- Inscribed angles
- Inscribed shapes problem solving
- Properties of tangents
- Stand equation of a circle
- Expanded equation of a circle
- Constructing a regular polygon inscribed in circles
- Constructing a line tangent to a circle
