Proving Parallelograms With Two Column Proofs - Geometry

This geometry video tutorial provides a basic introduction into two column proofs with parallelograms.  It explains the different ways of proving parallelograms.  Here are five ways:  1.  opposite sides must be parallel.  2.  Opposite sides must be congruent.  3.  opposite angles must be congruent.  4.  1 opposite side may be both parallel and congruent.  5.  Diagonals must be perpendicular bisectors of each other.  This video contains plenty of examples and practice problems.  Here is a list of theorems used in these two column proofs:  reflexive property, vertical angle theorem, definition of a parallelogram, definition of a midpoint, definition of a segment bisector, addition property of equality, substitution property of equality, definition of congruent segments, segment addition, SAS postulate, ASA postulate, and CPCTC.

Polygons:                             Polygons

Angles of Regular Polygons:
How To Calculate The Interior Angles ...

Quadrilaterals:                                                        
Quadrilaterals - Geometry

Parallelograms:                                                      
Parallelograms - Geometry

Rectangles - Special Quadrilaterals:                    
Rectangles - Properties of Parallelog...

Isosceles Trapezoids:                                            
Isosceles Trapezoids

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The Rhombus:                                                        
Rhombus, Basic Introduction - Geometry

Kites:                                                                        
Kites, Basic Introduction, Geometry

Proving a Quadrilateral Is a Kite:                          
Proving a Quadrilateral Is a Kite - T...

Proving a Quadrilateral Is a Rhombus:                
Two Column Proofs - Proving a Paralle...

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Proving Isosceles Trapezoids:                              
Two Column Proofs - Proving Isosceles...

2 Column Proofs - Quadrilateral:                          
Two Column Proofs With Parallelograms...

Skew Lines:                                                            
Skew Lines, Perpendicular & Parallel ...

Points, Lines, Planes, & Segments:                    
Points, Lines, Planes, Segments, & Ra...

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