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.

Foundations of Geometry

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

Triangles, Parallel Lines, and Polygons, Part 1

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

Triangles, Parallel Lines, and Polygons, Part 2

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

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

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

Circles and Areas of Polygons, Part 2

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

Introduction to Solid Geometry, Part 2

  • 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.

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.

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