MTH/210
Fundamentals of Geometry
Online
Format
$1194
Estimated Tuition
3 credits
Total credits
5 weeks
Course length
Start when you're ready
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Course level: Undergraduate
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.
Prerequisites
None
What you'll learn
Course skills and outcomes
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.