Lesson 13E Transformations with Matrices Solidify Understanding

Ready

Find the degree measure of the angle labeled with an .

1.

Right triangle with angle x, adjacent side 5 and opposite side 3.

2.

Right triangle with angle x, adjacent side 12 and opposite side 8.

3.

Right triangle with angle x, adjacent side 7 and opposite side 2.

4.

Right triangle with angle x, adjacent side 9 and opposite side 8.

Set

5.

Create a matrix with values from these coordinates: , , , . The -values will be in the top row, and the -values will be in the bottom row.

6.

Multiply the transformation matrix times the matrix .

7.

Plot the original parallelogram with coordinates , , , . Then, use the points from the matrix created in problem 6 and plot them on the following coordinate grid. Connect those four points to make a quadrilateral. What transformation occurred between the original parallelogram and the new one?

a blank 17 by 17 grid

Go

8.

Function is defined by the given table.

  1. Write an equation for .

  2. Fill in the values for assuming that .

  3. Write an equation for .

  4. Fill in the values for assuming that .

  5. Write an equation for .