I. Introduction
Geometry is the math of shape and space, describing and measuring how foundational geometric objects relate to each other and helping us calculate properties of real and modeled objects
II. Outline
- Foundations
- points
- lines
- planes
- notation
- Angle Relationships
- vertical
- complementary
- supplementary
- transversals
- Triangles
- properties
- special triangles
- Congruence Proofs
- SSS, SAS, ASA, AAS, HL
- Similarity
- scale factor
- AA/SAS/SSS
- Polygons & Quadrilaterals
- parallelograms
- trapezoids
- kites
- Circles
- arcs
- chords
- tangents
- inscribed angles
- Coordinate Geometry
- distance
- midpoint
- slope
- equation of a circle
- Transformations
- translations
- rotations
- reflections
- dilations
- Area & Perimeter
- 2D measurement
- composite figures
- Surface Area & Volume
- 3D solids
- Right-Triangle Trigonometry
- SOH-CAH-TOA
- applications
III. Free Books
- Univ. of Minnesota Open Library - Elementary College Geometry
- Author’s Website - Geometry with an Introduction to Cosmic Topology
IV. Video Series
- Khan Academy - High School Geometry
- Mario’s Geometry Course
V. See Also
- University:
- Algebraic Geometry, Differential Geometry
