What purpose do transformations serve? Compare and contrast the application of rigid motions to the application.Is there a sequence of dilations and basic rigid motions that takes the large figure to the small figure? Take.Show that no sequence of basic rigid motions and dilations takes the small figure to the large figure. Which transformations compose the similarity transformation that maps □ onto □′? Which transformations compose the similarity transformation that maps Figure 1 onto Figure 2? Describe a transformation that maps Figure □ onto Figure □′ Two figures in a plane are if there exists a similarity transformation taking one figure ontoįigure □′ is similar to Figure □. Which composition of similarity transformations maps polygon ABCD to polygon ABCD a dilation with a scale factor of and. Under the transformation r x axis r y axis (AB), A maps to A, and B maps to B. 25 On the accompanying grid, graph and label AB, where A is (0,5) and B is (2,0). If there are no dilations in the composition, the scale factor is defined to be 1. transformation that will map ABC onto ABC. The scale factor of a similarity transformation is the product of the scale factors of theĭilations in the composition. What observations can we make about Figures 1 and 2?Ī _ _ (or ) _ is a composition of a finite number ofĭilations or basic rigid motions. Observe Figures 1 and 2 and the images of the intermediate figures between them. What Are Similarity Transformations, and Why Do We Need Them?
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