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MTH/535

General Education

GEOMETRY

credits

Total credits

weeks

Course length

Take this course on its own, or as part of a degree or certificate program.

Please Note: Attendance and participation are mandatory in all University courses, and specific requirements may differ by course. If attendance requirements are not met, a student may be removed from the course. Please review the Course Attendance Policy in the Catalog for more information.

University of Phoenix reserves the right to modify courses. While widely available, not all programs are available to residents of all states. Please check with a University Enrollment Representative.

Course level: Graduate

This course is designed for students to demonstrate the ability to use fundamental concepts of geometry including definitions, basic constructions, tools of geometry, and to recognize geometry as an axiomatic system. Students will apply theorems to evaluate various problems, analyze the properties of figures, and formulate equations utilizing geometric foundations.

Prerequisites

This graduate level course requires proof of completion of a Bachelor's degree. Be prepared to provide documentation during the checkout process.

Required materials

The materials required for this course are covered in your resource fees.

Please Note: Attendance and participation are mandatory in all University courses, and specific requirements may differ by course. If attendance requirements are not met, a student may be removed from the course. Please review the Course Attendance Policy in the Catalog for more information.

University of Phoenix reserves the right to modify courses. While widely available, not all programs are available to residents of all states. Please check with a University Enrollment Representative.

What you'll learn

Course skills and outcomes

  • Understand basic terms, measurement, and postulates of geometry on and off the coordinate plane.
  • Investigate angles, including pairs of angles with special relationships.
  • Illustrate basic constructions using a straightedge and compass.
  • Apply the Angle Addition Postulate to find angle measures.
  • Create conditional statements with their parts, including converse, inverse, contrapositive and bi-conditional.
  • Prove geometric theorems using properties of equality.

  • Apply theorems about parallel and perpendicular lines.
  • Identify relationships between lines and planes that do not intersect.
  • Prove that two lines are parallel or perpendicular.
  • Identify corresponding parts in congruent figures.
  • Prove triangle congruence using corresponding parts and SSS, SAS, ASA, and AAS postulates.

  • Analyze the properties of parallelograms.
  • Analyze quadrilaterals using properties of diagonals.
  • Solve problems involving proportional reasoning and theorems.
  • Determine the area of quadrilaterals and triangles.

  • Calculate areas of regular polygons.
  • Differentiate between transformations of images.
  • Apply the Pythagorean Theorem and properties of special triangles.
  • Analyze the use of Sine, Cosine, and Tangent ratios to evaluate triangle problems.
  • Evaluate problems involving law of sines and cosines.

  • Investigate basics of circles.
  • Investigate measures of angles, arcs, and chords related to circles.
  • Explore the attributes of conics.
  • Formulate the equation of various conics.
  • Explore graphs of conics.

  • Review topics and objectives from all weeks.

Why UOPX

Why take courses at University of Phoenix

Accreditation that matters

We’ve been accredited by the Higher Learning Commission (hlcommission.org) 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

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Transfer Credits

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!

Transferability of credit is at the discretion of the receiving institution. It is the student’s responsibility to confirm whether or not credits earned at University of Phoenix will be accepted by another institution of the student’s choice. If you have a question contact us at (866) 354-1800.

The University of Phoenix reserves the right to modify courses. Although our continuing teacher education courses are accepted by some state agencies in the United States toward teacher certifications and endorsements, this may not be the case in all states or foreign jurisdictions. If you plan to use courses for certification or endorsement, please check with your own state agency and your school district for applicability. Continuing teacher education courses are not eligible to apply to degree programs at University of Phoenix. These courses are not eligible for federal financial aid. Transferability of credit is at the discretion of the receiving institution. It is the student’s responsibility to confirm whether or not credits earned at University of Phoenix will be accepted by another institution of the student’s choice. While widely available, not all programs are available to residents of all states. Please check with a University Enrollment Representative. If you have a question contact us at (866) 354-1800.