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Chapter 7: Similarity

Chapter 7: Similarity. 7-1 Ratios and Proportions. Objective To write ratios and solve proportions. Ratio: A comparison of two numbers Notation: words, colon, fraction or decimal (b 0) Proportion: An equation stating two ratios are equal Example:. Write the ratio in simplest form.

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Chapter 7: Similarity

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  1. Chapter 7:Similarity

  2. 7-1Ratios and Proportions Objective To write ratios and solve proportions

  3. Ratio: • A comparison of two numbers • Notation: words, colon, fraction or decimal (b 0) Proportion: • An equation stating two ratios are equal • Example: Write the ratio in simplest form.

  4. Solving a Proportion Steps: 1. Cross multiply 2. Divide Solve the following proportions:

  5. Additional Examples 6120 = 24(x + 50) 714 = 21(x – 23) 6120 = 24x + 1200 714 = 21x – 483 4920 = 24x 1197 = 21x 205 = x 57 = x

  6. Example 1 In a photograph, Dan is 2.5 inches tall and his sister Emma is 1.5 inches tall. Dan’s actual height is 70 inches. What is Emma’s actual height? Dan’s actual height Dan’s picture height 2.5 70 = x 1.5 Emma’s actual height Emma’s picture height 2.5x = 105 x = 42 inches

  7. Extremes and Means The first and last numbers in a proportion are the extremes. The middle two numbers in a proportion are the means.

  8. Properties of Proportions

  9. Write an equivalent proportion. 7-1 p. 436: 15-31 odd

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