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EXAMPLE 1 Identify similar solids Tell whether the given right rectangular prism is similar to the right rectangular prism shown at the right. a. b.

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EXAMPLE 1 Identify similar solids SOLUTION The prisms are similar because the ratios of corresponding linear measures are all equal. The scale factor is 2:3. ANSWER The prisms are not similar because the ratios of corresponding linear measures are not all equal. ANSWER a. Lengths 4 8 Widths 2 4 Heights 2 2 b. Lengths 4 6 Widths 2 3 Heights 2 3 1 2 = 1 2 = 1 1 = 2 3 =

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GUIDED PRACTICE for Example 1 Tell whether the pair of right solids is similar. Explain your reasoning. 1.

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GUIDED PRACTICE for Example 1 SOLUTION The solids are similar because the ratios of corresponding sides is in the ratio 4:3 ANSWER 4 3 = Lengths 16 12 4 3 = Lengths 12 9

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GUIDED PRACTICE for Example 1 Tell whether the pair of right solids is similar. Explain your reasoning. 2.

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GUIDED PRACTICE for Example 1 SOLUTION The solids are not similar because the ratios of corresponding dimension are not in the same ratio ANSWER 3 2 = Lengths 15 10 = 2 Lengths 10 5

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