G.3.6 Practice Problems

[img]data:image/png;base64,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[/img]
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[/img]
What is our definition of similarity?
[img]data:image/png;base64,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[/img]
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[/img]
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[/img]
A polygon has perimeter 12. It is dilated with a scale factor of k and the resulting image has a perimeter of 8. What is the scale factor? [br]
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Information: G.3.6 Practice Problems