Year 8 - Testbourne Community School
... constructions for triangles (using a protractor, ruler and pair of compasses as appropriate) - Understand what nets are and know how to construct simple nets for cubes, cuboids and some pyramids. - Understand and recall the terms associated with parts of circles. - Understand why angles in a quadril ...
... constructions for triangles (using a protractor, ruler and pair of compasses as appropriate) - Understand what nets are and know how to construct simple nets for cubes, cuboids and some pyramids. - Understand and recall the terms associated with parts of circles. - Understand why angles in a quadril ...
Proving with SSS and SAS part 2
... Sample answer: Both are used to prove triangles congruent. SSS is used when three sides of one triangle are congruent to three sides of a second triangle. SAS is used when two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle. ...
... Sample answer: Both are used to prove triangles congruent. SSS is used when three sides of one triangle are congruent to three sides of a second triangle. SAS is used when two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle. ...
Similar Metric Characterizations of Tangential and Extangential
... that is simply a matter of making the change A ↔ C in (5) to see that the condition is unchanged. How about an excircle outside of B or D? By making the changes A ↔ D and B ↔ C (to preserve that AB and CD intersect at E) we find that the conditions (5) and (6) are still the same. According to [14], ...
... that is simply a matter of making the change A ↔ C in (5) to see that the condition is unchanged. How about an excircle outside of B or D? By making the changes A ↔ D and B ↔ C (to preserve that AB and CD intersect at E) we find that the conditions (5) and (6) are still the same. According to [14], ...
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.)