Similarity and Transformations

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Notes Dilations.

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Presentation transcript:

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.

If the scale factor of the dilation is….. Then the dilated figure is…. 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. http://www.youtube.com/watch?v=GC4aTrXNFJQ If the scale factor of the dilation is….. Then the dilated figure is…. Between 0 and 1 Equal to 1 Greater than 1

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) www.ixl.com R11 www.ixl.com Q1