Presentation on theme: "Rectangular Prism Tarius Hall Algebra 2 3/10/06 Ms. J. Rainey."— Presentation transcript:
Rectangular Prism Tarius Hall Algebra 2 3/10/06 Ms. J. Rainey
Picture of my affection
Definition of Prism Rectangular Prism: It’s a solid figure where all sides are rectangles and all sides meet perpendicular.
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.
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 +=