Proving Parallelograms With Two Column Proofs - Geometry Video
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: https://www.youtube.com/watch?v=E_-3ulbtcLk
Angles of Regular Polygons:
https://www.youtube.com/watch?v=OEzEo4XqzJQ
Quadrilaterals:
https://www.youtube.com/watch?v=ogcH3eM5beM
Parallelograms:
https://www.youtube.com/watch?v=t42sLuns4Qs
Rectangles - Special Quadrilaterals:
https://www.youtube.com/watch?v=Ov4aTty67A8
Isosceles Trapezoids:
https://www.youtube.com/watch?v=AlyWS8bG3kE
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The Rhombus:
https://www.youtube.com/watch?v=uXo_Vpctmrg
Kites:
https://www.youtube.com/watch?v=UTgF6lSAMa8
Proving a Quadrilateral Is a Kite:
https://www.youtube.com/watch?v=dh8vRzTNVBg
Proving a Quadrilateral Is a Rhombus:
https://www.youtube.com/watch?v=EtoP5G98sok
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Proving Isosceles Trapezoids:
https://www.youtube.com/watch?v=EvTHRcNBAc8
2 Column Proofs - Quadrilateral:
https://www.youtube.com/watch?v=m8BlpR7xhiM
Skew Lines:
https://www.youtube.com/watch?v=cemF45vNOhg
Points, Lines, Planes, & Segments:
https://www.youtube.com/watch?v=dDWjhRfBsKM
_______________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collections
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