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Mathematics, 29.08.2021 22:10 noahdwilke

Ashley wants to prove that circle C with center (1,6) and radius 5 is similar to circle D with center (-2, 2) and radius 4. She plans to do so by mapping C onto D using a sequence of similarity transformations. Which sequence should she use? translation 3 units left and 4 units up, then dilation with center (-2, 2) and scale factor 54.

translation 3 units right and 4 units up, then dilation with center (-2, 2) and scale factor 45.

translation 3 units left and 4 units down, then dilation with center (-2,2) and scale factor 45.

translation 3 units right and 4 units down, then dilation with center (-2, 2) and scale factor 54.

Ashton wants to prove that circle C with center (-4, 8) and radius 12 is similar to circle D with center (4, -8) and radius 8. He plans to do so by mapping C onto D using a sequence of similarity transformations. Which sequence should he use?

translation 8 units right and 16 units up, then dilation with center (-4,8) and scale factor 23.

translation 8 units left and 16 units up, then dilation with center (-4, 8) and scale factor 32.

translation 8 units left and 16 units down, then dilation with center (4, -8) and scale factor 32.

translation 8 units right and 16 units down, then dilation with center (4, -8) and scale factor 23.

3. Asher wants to show that circle C with a radius of 8 is similar to circle D whose radius is 6 by transforming C into D using a similarity transformation. He plans to use a dilation with center (0, 0) and scale factor k. What value of k should Asher use?

A. 3/4

B. 4/3

C. 9/16

D. 16/9

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