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: [ Ссылка ]
Angles of Regular Polygons:
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Quadrilaterals:
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Parallelograms:
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Rectangles - Special Quadrilaterals:
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Isosceles Trapezoids:
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The Rhombus:
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Kites:
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Proving a Quadrilateral Is a Kite:
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Proving a Quadrilateral Is a Rhombus:
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Proving Isosceles Trapezoids:
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2 Column Proofs - Quadrilateral:
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Skew Lines:
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Points, Lines, Planes, & Segments:
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Final Exams and Video Playlists:
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Full-Length Videos and Worksheets:
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Proving Parallelograms With Two Column Proofs - Geometry
Теги
proving parallelogramsparallelogramsgeometrytwo column proofsopposite sidescongruentopposite anglesperpendicular bisectorsdiagonalspractice problemsproblemsbasic introductionexamplesintroductionvertical angle theoremreflexive propertydefinition of a parallelogramproofsdefinition of a midpointsegment bisectordefinitionaddition property of equalitysubstitution property of equalitycongruent segmentssegment additionsasasacpctc