Geometry A

Objectives

To know the axiomatic approach to euclidean geometry

General characterization

11532

6.0

Responsible teacher

Rui Alberto Pimenta Rodrigues

Weekly - 3

Total - 42

Português

Prerequisites

There are no requisits

Bibliography

"Curso de Geometria",  Paulo Ventura Araújo ( Gradiva 1998).

"Exploring advanced Euclidean Geometry with GeoGebra", Gerard A. Venema ( MAA 2013).

Teaching method

Resolution of exercises

Evaluation method

Avaliação continua: There will be 3 assessemt elements two tests (EP1, EP") and information from classes (AP). Final note is the maximum from (EP1+EP2+PA)/3 and (EP1+EP2)/2.

In ''Época de Recurso'' a student might answer to the questions related to both tests or keep the note from one and answer the questions related to the other test. The final note is obtained like in   ''Avaliação continua''.

If a student, using the above formulas,  obtains a final note higher than 18, he must do an additional proof or keep the note 18.

Subject matter

- Introduction to computer program ''''''''Geogebra"

- Introduction to plane euclidean geometry: points and lines, angles, length of a segment, parallel lines.

- Triangles, triangle inequality, triangle  congruence and  similarity

- Geometric constructions

- Rule and compass constructions

- Geometric transformations: translations, rotations, reflections and scaling

- Conic sections: ellipse, parabola e hyperbola.

-Solid Geometry

Programs

Programs where the course is taught: