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Fundamentals of Geometry




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Course level: Undergraduate

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.



What you'll learn

Course skills and outcomes

Foundations of Geometry

  • State problems about points, lines, and planes.
  • Solve problems involving segments, rays, and angles.
  • Apply inductive reasoning, deductive reasoning, and axiomatic systems.
  • Write formal geometric proofs.
  • Write conditional, converse, inverse, and contrapositive statements.

Triangles, Parallel Lines, and Polygons

  • Classify different types of triangles.
  • Apply the properties of congruent triangles.
  • Apply properties of parallel lines, transversals, and angles.
  • Solve problems involving angles and sides of polygons.
  • Solve application problems involving triangles and parallel lines.

Quadrilaterals, Similar Polygons, and the Pythagorean Theorem

  • Identify the properties of different quadrilaterals.
  • Analyze the properties of special quadrilaterals.
  • Use the properties of similar polygons.
  • Solve problems involving the Pythagorean Theorem.
  • Apply the triangle inequality theorem.

Circles and Areas of Polygons

  • Use the properties of circles and related components.
  • Determine the measure of inscribed angles and arcs.
  • Solve problems involving chords, secants, and tangent of circles.
  • Calculate the area of polygons.

Introduction to Solid Geometry

  • Describe the behavior of lines and planes in space.
  • Solve problems involving components of solid figures.
  • Determine the surface area of solids.
  • Determine the volume of solids.
  • Write trigonometric ratios.
  • Solve for missing parts of Triangles.


Why take courses at University of Phoenix

Accreditation that matters

We’ve been accredited by the Higher Learning Commission ( for more than 40 years.

Real-world instructors

Learn from instructors who bring an average of 25 years of working experience to the classroom.

Affordable and potentially reimbursable

Our tuition and fees are competitive and fixed. Also, check to see if your employer will cover you for this course.

Next Steps

Start a conversation about your future with an enrollment representative today.

Start a conversation about your future with an enrollment representative today.

Call (844) 937-8679

Transfer Credits

Credit Transfer

Credit Transfer

Need to transfer credits to another college or university?

Before you enroll in a course, check with your school of choice to make sure they will accept our transfer credits and to understand any requirements or limitations. Then you can complete your course, and request your official transcript be sent to your school. That’s it!

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