PICTURE PRISM/SLICE FORMS
The main Geometry topics that were utilized in this project were skills such as finding the area and perimeter of the slice forms. Once, these where found we had to make the slice form. The slice form was the hardest thing that I did all year in math. As Cathy explained the process of the slice form I did not understad it until the 2nd or 3rd time she explained it. Although the slice form process was complex I really liked making the actual 3d form. Through this project I learned that although hands on math can be hard it is worth it in the long run. This slice form project was very fun and entertaining thanks to my teacher Cathy Eagen.
Parametric Equations
For the problem #2d on Assignment #4 I had to use parametric equations instead of the traditional method I was taught to use to solve this problem.
Lines of reflection
In order to find a line of reflection between two congruent shapes the first thing you need to do is find at least two corresponding points and connect them. For each pair of corresponding points find the mid-point between these points. Since more then one of these midpoints have been found this will make the line directly down the line of reflection between the shapes.
Centers and angles of reflection
To find the center of rotation the first thing you ned to do is connect corresponding points. For each of these points find the mid point. Next, measure so that each mid point has an intersecting line of 90 degrees. The point in which each of these lines meet is the point of rotation.
Double Reflections
The two pictures above show a double reflection over intersecting lines and a double refection over parallel lines. For the intersecting The angle of rotation between the pre-image and the second reflection image is two times the measure of the acute angle formed by the intersecting lines. As for the Parallel lines the distance between the pre-image and the second reflection image is twice the distance between the parallel lines.