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"Degrees & Programs"

MTH/535

Geometry

credits

Total credits

weeks

Course length

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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.

What you'll learn

Course skills and outcomes

Foundations of Geometry and Conditional Statements

  • 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.

Parallel and Perpendicular Lines and Congruence

  • 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.

Quadrilaterals and Similar Polygons

  • 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.

Pythagorean Theorem, Transformations, and Trigonometry Ratios

  • 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.

Circles

  • 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

  • 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

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!

How to request your transcripts