Curriculum Cluster 2
... G.2 The student analyzes geometric relationships in order to make and verify conjectures. G.3 The student applies logical reasoning to justify and prove mathematical statements . G.4 The student uses a variety of representations to describe geometric relationships and solve problems. G.7 The student ...
... G.2 The student analyzes geometric relationships in order to make and verify conjectures. G.3 The student applies logical reasoning to justify and prove mathematical statements . G.4 The student uses a variety of representations to describe geometric relationships and solve problems. G.7 The student ...
CPCTC – Corresponding Parts of Congruent Triangles are
... Isosceles Triangle – triangle with at least two congruent sides Legs – the congruent sides of an isosceles triangle ...
... Isosceles Triangle – triangle with at least two congruent sides Legs – the congruent sides of an isosceles triangle ...
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.)