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2-4 Modeling Motion with Matrices

2-4 Modeling Motion with Matrices. Pre Calc A. Vocabulary. Transformations Translation Reflection Rotations Dilations. Ex 17:. 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

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2-4 Modeling Motion with Matrices

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  1. 2-4 Modeling Motion with Matrices Pre Calc A

  2. Vocabulary • Transformations • Translation • Reflection • Rotations • Dilations

  3. Ex 17: • 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

  4. Ex : • 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.

  5. Reflections

  6. Ex : • 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.

  7. Rotations:

  8. Ex last one: • 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.

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