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PLANE GEOMETRY

This lesson concentrates FORMAL PROOFS IN GEOMETRY

PAGE IS STILL IN DRAFT MODE

GRAPHING CALCULATOR AND ONLINE APPLICATIONS BRIEF GUIDE


1.- Inductive and Deductive Reasoning: If - Then Statements, Law of Syllogism and Law of Detachment.
2.- Two Column Proofs Involving Segment and Angle Relationships: Two Column Proofs and Flow Proofs with Segment Addition Postulate and Angle Pairs.
3.- Converting Two Column Proofs to Paragraph Proofs: An introduction to Paragraph Proofs using two column proofs.
4.- Two Column Proofs Involving Triangle Congruence: Two Column Proofs and Flow Proofs using Angle Relationships and SSS, ASA, SAS, and AAS.
5.- Introduction to proofs by contradiction in paragraph and two-column formats.
6.- Properties of Quadrilaterals: Squares, Rhombi, Rectangles, Parallelograms and Trapezoids.
7.- Proving Properties of Special Quadrilaterals using Congruent, or Isometric, or Rigid Transformations.
8.- Two Column Proofs with Quadrilaterals and Triangles: Solving Two Column Proofs and Flow Proofs Using Properties of Parallelograms and Quadrilaterals and  Properties of Triangles to Prove Congruence Statements and Segment or Angle Relationships.
9.- Proofs in Two Column Format involving similarity in triangles. Two Column Proofs and Flow Proofs for Similarity.
10.- Geometric Two Column Proofs Involving Circles with Chords, Tangents and Secants Part 1.
11.- Geometric Two Column Proofs Involving Circles with Chords, Tangents and Secants Part 2.
12.- 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.

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