1. Rectangular Prism Tarius Hall Algebra 2 3/10/06 Ms. J. Rainey

2. Picture of my affection

3. Definition of Prism Rectangular Prism: It’s a solid figure where all sides are rectangles and all sides meet perpendicular.

4. Net Design

5. Why did I chose this object? I chose this particular object because it represents geometry in a major way. This is a really plan object, but the formulas are kind of tricky if you don’t pay close attention to it. So for all the reasons I stated, that’s why I chose this object.

6. First Concept! Tarius needs to translate a prism using the vector =  2, 2, 0 . The vertices of the prism have the following coordinates. A(3, 2, -2)B(0, 0, -3)C(-1, 4, -3) D(-1, 4, 4)E(3, 2, 4)F(0, 0, 4) a.Write a matrix that will have such an effect on the figure. b.Find the coordinates of the vertices of the translated image. a.To translate the prism by the vector =  2, 2, 0 , we must first add 2 to each of the x- and y- coordinates. The z-coordinates remain the same. The translation matrix can be written as. b.Write the vertices of the prism in a 6  3 matrix. Then add it to the translation matrix to find the vertices of the translated image. Original Matrix+Translation Matrix= Translated Image Matrix +=

7. Second Concept cube: 6 faces, 4 corners; slides rectangular prism: 6 faces, 4 corners; slides pyramid: 5 faces, 5 corners; slides cylinder: 2 faces, no corners; rolls; slides cone: 1 face, 0 corners (It has a point.) rolls, slides sphere: 0 faces, 0 corners; rolls

8. Third Concept pyramid: triangle, square cylinder: circle cube: square cone: circle rectangular prism: rectangle, (possible square) sphere: none