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IM Geo.3.6 Practice: Connecting Similarity and Transformations

Find a sequence of rigid motions and dilations that takes square to square .

Quadrilaterals Q and P are similar.

What is the scale factor of the dilation that takes  to ?

What is the scale factor of the dilation that takes  to ?

What is our definition of similarity?

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Triangle is formed by connecting the midpoints of the sides of triangle . The lengths of the sides of  are shown. What is the length of ?

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If is 12, what is the length of ?

Right angle is taken by a dilation with center  and scale factor  to angle . What is the measure of angle ?

Use the applet below:

  • Dilate point  using center  and scale factor .
  • Dilate segment  using center  and scale factor .

A polygon has perimeter 12. It is dilated with a scale factor of  and the resulting image has a perimeter of 8. What is the scale factor? 

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Select all the statements that must be true.

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