Review
... Decide whether the given angles or sides are corresponding angles, corresponding sides, or ...
... Decide whether the given angles or sides are corresponding angles, corresponding sides, or ...
Understanding Similarity with the Help of GeoGebra
... buit with the composition of a rotation center of a omoteti R and center O and ratio k (the MNPtriangle), the third triangle is built open but close in shape to the other two (the DEF triangle). Obviously, the first two triangles are similar. The three triangles each have an angle with the measure o ...
... buit with the composition of a rotation center of a omoteti R and center O and ratio k (the MNPtriangle), the third triangle is built open but close in shape to the other two (the DEF triangle). Obviously, the first two triangles are similar. The three triangles each have an angle with the measure o ...
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.)