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6-2 Reteach Properties of Parallelograms
6-2 Reteach Properties of Parallelograms

... is c, so its area is _12_ bc. The areas of congruent triangles are equal, so the area of 䉭CGF is also _12_ bc. The height of 䉭DGH is b and the length of the base is c, so its area is _12_ bc. The area of 䉭BEF is also _12_ bc. The area of all four triangles is thus 2bc. The area of EFGH is the area o ...
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History of geometry



Geometry (from the Ancient Greek: γεωμετρία; geo- ""earth"", -metron ""measurement"") arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers (arithmetic).Classic geometry was focused in compass and straightedge constructions. Geometry was revolutionized by Euclid, who introduced mathematical rigor and the axiomatic method still in use today. His book, The Elements is widely considered the most influential textbook of all time, and was known to all educated people in the West until the middle of the 20th century.In modern times, geometric concepts have been generalized to a high level of abstraction and complexity, and have been subjected to the methods of calculus and abstract algebra, so that many modern branches of the field are barely recognizable as the descendants of early geometry. (See Areas of mathematics and Algebraic geometry.)
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