Fundamentals Of Geometry – mat207 (3 credits)

This course is designed to have students demonstrate the ability to use fundamental concepts of geometry including definitions, tools of geometry, and to recognize geometry as an axiomatic system.

This undergraduate-level course is 9 weeks. This course is available to take individually or as part of a degree or certificate program. To enroll, speak with an Enrollment Representative.

Triangles, Parallel Lines, and Polygons, Part 1

  • Use properties of parallel lines, transversals, and angles.
  • Classify polygons.
  • Classify triangles.
  • Use the properties of triangles.

Triangles, Parallel Lines, and Polygons, Part 2

  • Classify triangles.
  • Use the properties of triangles.
  • Use properties of parallel lines, transversals, and angles.
  • Classify polygons.

Circles and Areas of Polygons, Part 1

  • Use the components of circles.
  • Classify the relationship between lines and circles.
  • Use theorems of circle-line relationships.
  • Calculate the area of polygons.

Introduction to Solid Geometry, Part 2

  • Classify solid figures.
  • Describe the behavior of lines and planes in space.
  • Calculate the surface area of solids.
  • Calculate the volume of solids.

Quadrilaterals, Similar Polygons, and the Pythagorean Theorem, Part 1

  • Classify quadrilaterals.
  • Use the properties of special quadrilaterals.
  • Use similar polygons.
  • Use the Pythagorean Theorem.

Foundations of Geometry

  • Use the relationship between segments, rays, and angles.
  • Use the relationship between points, lines, and planes.
  • Prove geometric assertions.
  • Use inductive reasoning, deductive reasoning, and axiomatic systems.

Circles and Areas of Polygons, Part 2

  • Use theorems of circle-line relationships.
  • Calculate the area of polygons.
  • Use the components of circles.
  • Classify the relationship between lines and circles.

Introduction to Solid Geometry, Part 1

  • Describe the behavior of lines and planes in space.
  • Classify solid figures.
  • Calculate the surface area of solids.
  • Calculate the volume of solids.

Quadrilaterals, Similar Polygons, and the Pythagorean Theorem, Part 2

  • Classify quadrilaterals.
  • Use the properties of special quadrilaterals.
  • Use similar polygons.
  • Use the Pythagorean Theorem.

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