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# Similarity and Transformations - PowerPoint PPT Presentation

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

Ch. 2 Lesson 3

Pg. 123

• Enlarge Photographs

• Make something from a pattern

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

• 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)

• 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.

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.

• 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?

• HC: pg. 127-128 (1-10)

• CC: pg. 127-128 (1-3, 5,7,9,10)

• www.ixl.comR11

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