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.
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.