2-4 Modeling Motion with Matrices

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# 2-4 Modeling Motion with Matrices - PowerPoint PPT Presentation

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

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

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

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.
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.
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.