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Chapter 2: Transformations
Section 2.6: Perimeters and Areas of Similar Figures
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Quote of the Day “Everybody’s a genius, it’s just a matter of whether you love yourself enough to admit it to yourself and fly with whatever your area of genius is.” Orlando Mcguire
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Do Now On separate sheet of paper. Answers:
1. Perimeter: 32 in. Area: 63 inches squared 2. Perimeter: 60 cm. Area: 225 cm squared 3. Perimeter: 12 cm. Area: 6 cm squared 4. Perimeter: 48 in. Area: 130 inches squared
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Today’s Objectives Students will find ratios of perimeters and areas.
Students will use proportions to find perimeters and areas.
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Key Idea Perimeters of similar figures:
When two figures are similar, the ratio of their perimeters is equal to the ratio of their corresponding side lengths.
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Example 1
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Key Idea Areas of similar figures:
When two figures are similar, the ratio of their areas is equal to the square of the ratio of their corresponding side lengths.
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Example 2
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Example 3
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