What Are Similarity Transformations, and Why Do We Need Them?
Observe Figures 1 and 2 and the images of the intermediate figures between them. Figures 1 and 2 are called similar. What observations can we make about Figures 1 and 2?
A _____ _____ (or ) _____ is a composition of a finite number of dilations or basic rigid motions. The scale factor of a similarity transformation is the product of the scale factors of the dilations in the composition. If there are no dilations in the composition, the scale factor is defined to be 1.
Two figures in a plane are if there exists a similarity transformation taking one figure onto the other figure.
Figure 𝑍′ is similar to Figure 𝑍. Describe a transformation that maps Figure 𝑍 onto Figure 𝑍′
Show that no sequence of basic rigid motions and dilations takes the small figure to the large figure. Take measurements as needed.
Two figures are similar if there exists a similarity transformation that maps one figure onto the other. A similarity transformation is a composition of a finite number of dilations or rigid motions.
Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.