Fundamentals Of Geometry – mth210 (3 credits)
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.
Introduction to Solid Geometry
- Describe the behavior of lines and planes in space.
- Solve problems involving components of solid figures.
- Calculate the surface area of solids.
- Calculate the volume of solids.
Foundations of Geometry
- Apply inductive reasoning, deductive reasoning, and axiomatic systems.
- Apply postulates about points, lines, and planes.
- Solve problems involving segments, rays, and angles.
- Write formal geometric proofs.
Triangles, Parallel Lines, and Polygons
- Identify different types of triangles.
- Apply the properties of congruent triangles.
- Use properties of parallel lines, transversals, and angles.
- Solve problems involving angles and sides of polygons.
Quadrilaterals, Similar Polygons, and the Pythagorean Theorem
- Apply the triangle inequality theorem.
- Identify the properties of different quadrilaterals.
- Use the properties of special quadrilaterals.
- Use the properties of similar polygons.
- Solve problems involving the Pythagorean Theorem.
Circles and Areas of Polygons
- Use the properties of circles and related components.
- Classify the measure of inscribed angles and arcs.
- Solve problems involving chords, secants, and tangent of circles.
- Calculate the area of polygons.
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