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 I...
Quadrilaterals:
• Quadrilaterals - Geometry
Parallelograms:
• Parallelograms - Geometry
Rectangles - Special Quadrilaterals:
• Rectangles - Propertie...
Isosceles Trapezoids:
• Isosceles Trapezoids
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The Rhombus:
• Rhombus, Basic Introdu...
Kites:
• Kites, Basic Introduct...
Proving a Quadrilateral Is a Kite:
• Proving a Quadrilatera...
Proving a Quadrilateral Is a Rhombus:
• Two Column Proofs - Pr...
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Proving Isosceles Trapezoids:
• Two Column Proofs - Pr...
2 Column Proofs - Quadrilateral:
• Two Column Proofs With...
Skew Lines:
• Skew Lines, Perpendicu...
Points, Lines, Planes, & Segments:
• Points, Lines, Planes,...
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