MI4
Project
Due: Dec. 6, 2013
At beginning of class
Matrices and Transformations.
Writing Assignment Guidelines:
For this assignment, you are to work with one other student (from the same class) to
collaborate and develop your solutions. You will submit one paper per pair; a hard copy
to your teacher and electronically to turnitin.com.
You are to write your solutions carefully and completely. The primary purpose for this
assignment is to emphasize your ability to explain your mathematical work clearly, as if
you were writing this problem to a colleague who knows as much mathematics as you.
Your paper should include the following:
 Good drawing(s) with labels. Can be done by hand, or on the computer with your
choice of software. If done by hand, drawings must be neat and accurate. A
straightedge is necessary.
 An explanation of your set-up and the work done.
 Correct and precise mathematics, paying particular attention to the clarity of your
work.
 Generalizations supported by your work, with sound justifications written in
complete sentences.
Writing style and clarity will be a factor in your evaluation.
IMSA
F13
MI4
Project
Due: Dec. 6, 2013
At beginning of class
Transformations and Matrices
I. Find a matrix that will reflect over the line y  2 x
Extension 1: Generalize your solution for any line that passes through the
origin, y  mx .
Extension 2: Find a technique for reflecting over the line y  mx  b .
II. Using matrices prove that a rotation through an angle  preserves angle measure.
Extension 3: Find a general procedure using matrices for rotation through any
point in the plane.
8
6
A
4
B
A'
2
C
-10
-5
5
C'
10
B'
-2
-4
-6
-8
IMSA
F13