2 4 modeling motion with matrices
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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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2 4 modeling motion with matrices

2-4 Modeling Motion with Matrices

Pre Calc A


Vocabulary

Vocabulary

  • Transformations

  • Translation

  • Reflection

  • Rotations

  • Dilations


Ex 17

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


2 4 modeling motion with matrices

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.


Reflections

Reflections


2 4 modeling motion with matrices

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.


Rotations

Rotations:


Ex last one

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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