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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.

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Similarity and transformations

Similarity and Transformations

Ch. 2 Lesson 3

Pg. 123


What will you will learn
What will you will learn?

  • Enlarge Photographs

  • Make something from a pattern


Identify similarity
Identify Similarity

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


Examples
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)


Examples1
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 s cale factor
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
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
Homework

  • HC: pg. 127-128 (1-10)

  • CC: pg. 127-128 (1-3, 5,7,9,10)

  • www.ixl.comR11

  • www.ixl.comQ1