Standard syllabus
Geometry · Undergraduate · Math
Topics
Euclidean foundations
- Axiomatic systems; points, lines, and planes
- Angles, parallel lines, and triangle congruence (SAS, ASA, SSS)
- Similarity and proportional segments
- Right triangles; Pythagorean theorem and special triangles
- Circles: chords, tangents, inscribed angles, and arc measure
Coordinate and solid geometry
- Coordinate geometry: distance, midpoint, and slope
- Equations of lines and circles in the plane
- Area and perimeter formulas; surface area and volume of solids
- Cross-sections and nets of 3D figures
- Basic geometric constructions with compass and straightedge
Transformations and symmetry
- Translations, rotations, reflections, and glide reflections
- Congruence and similarity via transformations
- Symmetry groups of regular figures (informal)
- Tessellations and patterns in the plane
- Introduction to non-Euclidean geometry (overview)
Pricing calculator
Choose materials, tutoring, or both — or book a single session as needed. Customize your plan on the subscribe page.
$1,162 · Geometry · 18 tutoring hrs
Study guides, worksheets, reviews, practice tests, and answer keys for 1 class. 18 tutoring hours (1 hr / week · semester). Bundle discount applied vs buying separately. Pay in full via Zelle or Venmo.