8-5.Revised class presentation
... relationship between the triangle’s side lengths. In ∆ABC, let h represent the length of the altitude from C to From the diagram, ...
... relationship between the triangle’s side lengths. In ∆ABC, let h represent the length of the altitude from C to From the diagram, ...
Triangle Similarity: AA, SSS, SAS
... Applying Properties of Similar Triangles Fill in the blanks to complete each theorem. 1. If a line parallel to a side of a triangle intersects the other two sides, then it divides those sides ____________________. 2. If three or more parallel lines intersect two transversals, then they divide the __ ...
... Applying Properties of Similar Triangles Fill in the blanks to complete each theorem. 1. If a line parallel to a side of a triangle intersects the other two sides, then it divides those sides ____________________. 2. If three or more parallel lines intersect two transversals, then they divide the __ ...
Mathematics Teachers` Constructions of Circle Theorems in
... constructed two inscribed angles that intercept the same arc (instead of just constructing one inscribed angle and using the software’s drag feature). Group A teachers came up with the construction illustrated in fig.6a and used the drag test with both inscribed angles to show the well-behaved chara ...
... constructed two inscribed angles that intercept the same arc (instead of just constructing one inscribed angle and using the software’s drag feature). Group A teachers came up with the construction illustrated in fig.6a and used the drag test with both inscribed angles to show the well-behaved chara ...
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.)