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 course is 5 weeks.
This course has a prerequisite. Please see details in the Prerequisite section below.
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, Tuition Refund Policy and all University Policies in the Catalog for more information.
Topics and Objectives
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.
A prerequisite is required for this course. The purpose of a prerequisite is to ensure students have the knowledge and/or skills needed to be successful in the course. Students are required to provide proof of prerequisite during the enrollment/registration process. To meet to a course prerequisite requirement, a student must have successfully completed the prerequisite course at University of Phoenix, provide proof via transcript of completing a comparable course (at least 75% match) or higher level course with at least a grade of C at another institution or have a University of Phoenix approved Student Appeal on file with the University.
This course requires the prerequisite below. Click on the prerequisite course to review the course topics and objectives.
- MTH/219 - Introduction to College Algebra OR
- MAT/002 - Math Placement Exam B OR
- a minimum of 2 college credits that demonstrates math proficiency
During the checkout process you will be prompted to provide proof of the requirement(s). If you completed the prerequisite at another institution be prepared to upload an official/unofficial transcript. If you have questions about meeting the prerequisite requirements for this course please contact an enrollment representative at 888-484-1815.
The University of Phoenix reserves the right to modify courses.
While widely available, not all programs are available in all locations or in both online and on-campus formats. More information about eligibility requirements, policies, and procedures can be found in the catalog.
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.