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Similarity and Transformations

Similarity and Transformations. Ch. 2 Lesson 3 Pg. 123. What will you will learn?. Enlarge Photographs Make something from a pattern. Identify Similarity. Two figures are similar if the second can be obtained from the first by a sequence of transformations and dilations. Examples.

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Similarity and Transformations

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  1. Similarity and Transformations Ch. 2 Lesson 3 Pg. 123

  2. What will you will learn? • Enlarge Photographs • Make something from a pattern

  3. Identify Similarity • Two figures are similar if the second can be obtained from the first by a sequence of transformations and dilations

  4. Examples • Determine if the two triangles are similar by using transformations. • Since the orientation of the figures is the same, one of the transformations is a Translation. • ( x + , y - ) • Write ratios comparing the lengths of each side. (corresponding sides)

  5. Examples • Determine if the two rectangles are similar by using transformations. • The orientation of the figures is different, so one of the transformations is a Rotation. • Make “W” the origin and rotate 90° clockwise. • Write ratios comparing the lengths of the sides.

  6. Use the Scale Factor • Similar figures have the same shape, but may have different sizes. The sizes of the two figures are related to the scale factor of the dilation.

  7. Example • Ken enlarges a photo by a scale factor of 2 for his webpage. He then enlarges the webpage photo by a scale factor of 1.5 to print. If the original photo is 2 in. by 3 in., what are the dimensions of the print? • Are the enlarged photos similar to the original?

  8. Homework • HC: pg. 127-128 (1-10) • CC: pg. 127-128 (1-3, 5,7,9,10) • www.ixl.comR11 • www.ixl.comQ1

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