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By Derrick Moore And Dakota Boren

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Identify congruent or similar solids. State the properties of similar solids.

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Similar solids- A solid that has exactly the same shape but not necessarily the same size. You can determine if 2 solids are similar by comparing the ratios of their corresponding linear measurements.

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Scale Factor

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Base edge of larger pyramid ________________________ Base edge of smaller pyramid Height of larger pyramid _____________________ Height of smaller pyramid Lateral edge of larger pyramid ___________________________ Lateral edge of smaller pyramid

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h=5 h=2 3 1 3 1 2.5 5.5 Are these two pyramids similar?

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Base edge of larger pyramid ________________________ Base edge of smaller pyramid 3/1 Height of larger pyramid _____________________ Height of smaller pyramid 5/2 Lateral edge of larger pyramid ___________________________ Lateral edge of smaller pyramid 5.5/2.5 Answer: no, their ratios are different

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How to find the ratios of corresponding parts of cones and Cylinders Radius of larger cone/cylinder ____________________ Radius of smaller cone/cylinder Height of larger cone/cylinder ___________________ Height of smaller cone/cylinder

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Example R=3R=6 h=2,234 h=1,117 Are these cones similar? 6/3 2234/1117 =2/1 2/1 = 2/1 the cones are similar

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pg. 711 #11-30

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EXAMPLE 2 Use the scale factor of similar solids Packaging

EXAMPLE 2 Use the scale factor of similar solids Packaging

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