Basic Course Outline

Deliverables

1. Complete all Geometry lessons/tests
   
   
   

1. Submit one of the papers defined below:
   Project Research Papers (MLA Format not required):
   
   

1. Various two-dimensional figures (circles, squares, triangles, and so forth) all have common characteristics, namely they have a circumference or perimeter, an area, and other dimensions. Write a paper stating a hypothesis defining whether or not different figures with the same circumference or perimeter have the same area. In your paper, state your assumptions, what figures you have chosen to compare, and why the areas are the same or different. Give at least 4 comparative examples using different two-dimensional figures. Prove mathematically that your hypothesis is correct or false.
   
   
2. In the drawing below lines EF and GH are parallel. Both are perpendicular to line CD. Line MN is perpendicular to line AB. If you assume angle 1 is 40°, what is the value of angles 2 through 10? Write a paper describing the rules used to determine the angles, the importance of understanding the relationship of intersecting lines, and how this knowledge can be applied to at least 4 specific businesses or industries.
   
   (Click Here for larger image)
   
   
3. Geometric principles are valuable to many aspects of life activities. Most of the time, we do not even think about the fact that we are using very practical geometry. Using similar triangles to measure places that you cannot reach, triangulation while hiking or sailing, or flying the "great circle route" when flying from Dallas to Tokyo are good examples of these principles being applied. Write a paper describing how geometric principles are applied in each of these 3 examples plus one other way that geometric principles are used in some activity that you do