Similarity and Transformations

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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

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
• 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)
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.
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.
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?
Homework
• HC: pg. 127-128 (1-10)
• CC: pg. 127-128 (1-3, 5,7,9,10)
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