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Published byAnthony Neal Modified over 9 years ago
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Target: Use proportions to solve problems involving similar figures.
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1. Solve for x: Similar, congruent, or neither ? 2. 3. 4. Determine the scale factor for the similar figures. 10 16 15 24
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Ratio ◦ A Fraction Proportion ◦ 2 = Fractions Scale Factor ◦ Model dimension vs actual dimension
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The Scale Factor can be one of the fractions in a proportion 7 inches Model The Real Motorcycle How Long is the Real Motorcycle?
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Find the height of the tree in Steven’s yard based on the drawing. Set up the proportion. Let x = the height of the tree. Use cross products to solve. 4x = 60 x = 15 The tree is 15 feet tall.
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The parallelograms are similar. Find y. Write a proportion using corresponding sides. Use cross products to solve. 6y = 72 y = 12 The missing length is 12 inches.
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The similar triangles have a scale factor of 3:5. Find a. Scale factor is the ratio of the sides. Set up a proportion. Use cross products to solve. 5a = 24 a = 4.8 The missing length is 4.8 yards.
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Shannon wanted to measure the height of her house to the tip of its chimney using a mirror. Set up a proportion using corresponding sides. Use cross products to solve. 6x = 150 x = 25 Shannon’s house is 25 feet high.
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Determine the scale factor for each pair of similar figures. 1. 2. Use proportions to solve for each variable in the similar figures. 3. 4. 24 16 21 28
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Think of a tall object around your home or school. How can you use ratios and proportions to find the height of the object?
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Proportions and Similar Figures Lesson 9
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1. Write a ratio for one pair of corresponding sides using numbers. 2. Write a ratio for another pair of corresponding sides using a number and a variable for the missing side. 3. Write a proportion using the ratios of corresponding sides. 4. Solve the proportion.
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