Geometry - St. Anthony Catholic School
... Example: Decide whether this statement is true: “If today is Sunday, then we have school tomorrow.” State, use, and examine the validity of the converse, inverse, and contrapositive of “if – then” statements. Example: In the last example, write the converse of the statement. Identify and give exampl ...
... Example: Decide whether this statement is true: “If today is Sunday, then we have school tomorrow.” State, use, and examine the validity of the converse, inverse, and contrapositive of “if – then” statements. Example: In the last example, write the converse of the statement. Identify and give exampl ...
ASSIGNMENT 9 – SIMILAR TRIANGLES
... ASSIGNMENT 9 – SIMILAR TRIANGLES Definition: Two triangles are similar, if and only if there is some way to match the vertices of one triangle to those of the other such that the corresponding sides are in the same ratio and corresponding angles are congruent. One triangle is a scaled- up version of ...
... ASSIGNMENT 9 – SIMILAR TRIANGLES Definition: Two triangles are similar, if and only if there is some way to match the vertices of one triangle to those of the other such that the corresponding sides are in the same ratio and corresponding angles are congruent. One triangle is a scaled- up version of ...
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.)