Www.jasonmyhre.weebly.com Warm Up 6.3 Complete the chart for the given counterclockwise rotations about the origin. 90o 180o 270o R(3, -3) S(1, 4) Use.

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www.jasonmyhre.weebly.com Warm Up 6.3 Complete the chart for the given counterclockwise rotations about the origin. 90o 180o 270o R(3, -3) S(1, 4) Use matrix multiplication to find the coordinates of the image formed by rotating 900 counterclockwise about the origin.

Apply compositions of transformations (9.5) Unit 6: Transformations Target 6.3 Apply compositions of transformations (9.5)

Sometimes we want to perform two or more transformations on a given preimage. We call this a ______________________ of transformations. Translation: (x, y)  (x – 7, y) Reflection: in the x-axis Preimage Image 1 Image 2 A(3, 2) B(6, 3) C(7, 1)

Reflection: in the y-axis Rotation: 270o Preimage Image 1 Image 2 www.jasonmyhre.weebly.com Reflection: in the y-axis Rotation: 270o Preimage Image 1 Image 2 R(1, -3) S(2, -6) T(4, -4)

Is the image formed after doing a series of translations, reflections, and rotations congruent to the original preimage? Does the order you perform the transformations in matter? Try doing the previous example in the reverse order. Rotation: 270o Reflection: in the y-axis Preimage Image 1 Image 2 R(1, -3) S(2, -6) T(4, -4)

Describe the rules for the composition of transformations.