Similarity Esaay

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It's so cute. After redrawing my first monkey by resizing it, the second monkey is smaller but definitely similar. If two figures are similar, they are the same shape but may be different sizes. Shapes can be made smaller or larger through dilation, a transformation using a scale factor to create a similar image. This is what I have done with my monkey (on the graph paper). My original image, Figure 1, has been shrunk to a smaller and similar image by using a scale factor of ½, as shown in Figure 2, after the dilation. My two monkeys are similar because the ratio of their lengths compared to that of the areas fits the Proportional Perimeters and Areas Theorem. Also, their corresponding angles are congruent and their corresponding lengths are proportional, proving that they are similar by definition. I can create a dilation by multiplying each coordinate with the scale factor of ½, so that the ratio of the images is 1 to 2. For example, my original monkey’s tail tip is at point 75 (62, 16). By multiplying both x- and y- values by ½ as shown: (62 * ½, 16 * ½), we get (31,8). (x, y) →...

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