| 1a.- Inductive and Deductive Reasoning: If - Then Statements, Law of Syllogism and Law of Detachment. |
| 1b.- Introducción al Razonamiento Inductivo y Deductivo: Enunciados Condicionales Si...Entonces sus enunciados conversos, reciprocos, contra positivos e inversos (si usamos proposición todos son femeninos: Conversa, inversa, etc) |
| 2.- Two Column Proofs Involving Segment and Angle Relationships: Two Column Proofs, Flow Proofs and Paragraph Proofs with Segment Addition Postulate and Angle Pairs. |
| 3a.- Two Column Proofs Involving Triangle Congruence: Two Column Proofs and Flow Proofs using Angle Relationships and SSS, ASA, SAS, and AAS. |
| 3b.- Demostraciones Con Tablas de Dos Columnas con Enunciados y Razones, Demostraciones de Flujo y Demostraciones de Parrafo involucrando Triángulos y Cuadriláteros: Usando los teoremas y postulados de LLL, LAL, ALA y AAL. |
| 4a.- Introduction to proofs BY CONTRADICTION in paragraph and two-column formats. |
| 4b.- Demostraciones geométricas POR CONTRADICCIÓN en párrafo y dos columnas |
| 5.- Properties of Quadrilaterals: Squares, Rhombi, Rectangles, Parallelograms and Trapezoids. |
| 6.- Proving Properties of Special Quadrilaterals using Congruent, or Isometric, or Rigid Transformations. |
| 7a.- Proofs with Quadrilaterals and Triangles: Solving Two Column Proofs and Flow Proofs Using Properties of Parallelograms and Quadrilaterals |
| 7b.- Demostraciones en Formatos de Dos Columnas y Flujo: Completando Demostraciones Involucrando Triángulos y Cuadriláteros |
| 8a.- Proofs in Two Column Format involving similarity in triangles. Two Column Proofs, Flow Proofs and Paragraph for Similarity. |
| 8b.- Demostraciones en formatos de 2 columnas, flujo y párrafo sobre semejanza en triángulos y cuadriláteros. |
| 9 a1.- Geometric Two Column Proofs Involving Circles with Chords, Tangents and Secants involving angle and arc relationships with segments in circles. |
| 9 a2.- Demostraciones Geométricas con rayos, cuerdas, tangentes, y secantes en relaciones angulares de ángulo y arco en círculos. |
| 9 b1.- Geometric Two Column Proofs Involving Circles with Chords, Tangents and Secants involving segment relationships in circles. |
| 9 b2.- Demostraciones involucrando tangentes, secantes, cuerdas y relaciones entre segmentos en círculos |
| 9 c1.- Proofs with circles involving chords, secants and tangents. Part 1 performed using Ti-nspire CX graphing calculator from Texas Instrument |
| 9 c2.- Proofs with circles involving chords, secants and tangents. Part 1 performed using Ti-nspire CX graphing calculator from Texas Instrument |
| 9 c3.- Proofs with circles involving chords, secants and tangents. Part 3 performed using Ti-nspire CX graphing calculator from Texas Instrument |
| 10.- THEOREMS AND POSTULATES This is a PDF document that concentrates most theorems and postulates for geometry as they have been used in the lessons for geometry in this site. They are not different of what you may find at the specialized index at the end of most geometry books. |
