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2-4 Modeling Motion with Matrices

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2-4 Modeling Motion with Matrices

Pre Calc A

- Transformations
- Translation
- Reflection
- Rotations
- Dilations

- Suppose quadrilateral RSTU with vertices R(3, 2), S(7, 4), T(9, 8) and U(5, 6) is translated 2 units right and 3 units down.
a. represent the vertices of the

quadrilateral as a matrix

b. write the translation matrix

c. use the translation matrix to find

the vertices of R’S’T’U’

d. Graph the pre-image and image

- A parallelogram has vertices W(-2, 4), X(0, 8), Y(4, 6), and Z(2, 2). Find the coordinates of the dialted parallelogram W’X’Y’Z’ for a scale factor of 1.5. Describe the dilation.

- A triangle has vertices A(-1, 2), B(4, 4) and C(3, -2). Find the image of the triangle after a reflection over the y-axis.

- A triangle has vertices A(-1, 2), B(4, 4) and C(3, -2). Find the image of the triangle after a rotation of 90˚ about the origin.