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Geometry –
mth535
(3 credits)
This course is designed to have students demonstrate the ability to use fundamental concepts of geometry including definitions, basic constructions, tools of geometry, and to recognize geometry as an axiomatic system.
This graduate-level course is 6
weeks.
To enroll, speak with an Enrollment Advisor.
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Review
- Review topics and objectives from all weeks.
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Areas of Polygons and Circles
- Apply the area formula to regular polygons.
- Identify area and arc length of a sector.
- Calculate circumference and area of circles.
- Determine areas of quadrilaterals.
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Circles
- Construct a tangent to a circle and measure angles formed by tangents.
- Describe the theorems of chords and secants of circles.
- Define a circle and related terms (e.g., arcs, semi-circles, inscribed angles).
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Similar Polygons and the Pythagorean Theorem
- Demonstrate the applications of the Pythagorean Theorem.
- Construct proportional segments of polygons.
- Apply the postulates and theorems of similar polygons.
- Define ratio, proportion, and proportional segments.
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Quadrilaterals
- Examine the properties of trapezoids.
- Use the properties of special quadrilaterals (e.g., parallelogram, rectangles, squares, rhombus, and kite).
- Apply the properties of parallelograms.
- Describe the characteristics of a quadrilateral.
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Parallel Lines and Polygons
- Identify different types of polygons and their components.
- Define parallel lines, transversals, and angles.
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Triangles
- Use congruent and right triangles to prove statements and theorems.
- Construct a triangle congruent to a given triangle.
- Prove how triangles are congruent using geometric theorems.
- Classify triangles by their sides and by their angles.
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Foundations of Geometry
- Formulate geometric proofs.
- Describe segments, rays, and angles.
- Identify points, lines, and planes.
- Define deductive/inductive reasoning and proofs, and axiomatic systems.
- 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. Please check with a University Enrollment Advisor.
- 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.
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