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Lesson 1 Menu

Complete the statement about parallelogram LMNO. LM  ? MN  ?  OLM  ? MP  ? Refer to the figure. Find the measure of each interior angle. Lesson 1 Menu. Write ratios. Use properties of proportions. ratio. proportion cross products extremes means. Lesson 1 MI/Vocab.

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Lesson 1 Menu

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  1. Complete the statement about parallelogram LMNO. • LM  ? • MN  ? • OLM  ? • MP  ? • Refer to the figure. • Find the measure of each interior angle. Lesson 1 Menu

  2. Write ratios. • Use properties of proportions. • ratio • proportion • cross products • extremes • means Lesson 1 MI/Vocab

  3. 0.3 can be written as Write a Ratio SCHOOL The total number of students who participate in sports programs at Central High School is 520. The total number of students in the school is 1850. Find the athlete-to-student ratio to the nearest tenth. To find this ratio, divide the number of athletes by the total number of students. Answer: The athlete-to-student ratio is 0.3. Lesson 1 Ex1

  4. The country with the longest school year is China with 251 days. Find the ratio of school days to total days in a year for China to the nearest tenth. (Use 365 as the number of days in a year.) • A • B • C • D A. 0.3 B. 0.5 C. 0.7 D. 0.8 Lesson 1 CYP1

  5. Extended Ratios in Triangles In a triangle, the ratio of the measures of three sides is 5:12:13, and the perimeter is 90 centimeters. Find the measure of the shortest side of the triangle.A15 cmB18 cmC36 cmD39 cm Read the ItemYou are asked to apply the ratio to the three sides of the triangle and the perimeter to find the shortest side. Solve the ItemWe can rewrite 5:12:13 as 5x:12x:13x and use those measures for the sides of the triangle. Write an equation to represent the perimeter of the triangle as the sum of the measures of its sides. Lesson 1 Ex2

  6. Extended Ratios in Triangles Perimeter Combine like terms. Divide each side by 30. Lesson 1 Ex2

  7. Extended Ratios in Triangles Use this value of x to find the measures of the sides of the triangle. The shortest side is 15 centimeters. The answer is A. Check Add the lengths of the sides to make sure that the perimeter is 90.  Answer: A Lesson 1 Ex2

  8. In a triangle, the ratio of the measures of three sides is 3:4:5, and the perimeter is 42 feet. Find the measure of the longest side of the triangle. • A • B • C • D A. 10.5 ft B. 14 ft C. 17.5 ft D. 37 ft Lesson 1 CYP2

  9. Lesson 1 KC2

  10. Solve Proportions by Using Cross Products A. Original proportion Cross products Multiply. Divide each side by 6. y = 27.3 Answer:y = 27.3 Lesson 1 Ex3

  11. Solve Proportions by Using Cross Products B. Original proportion Cross products Simplify. Add 30 to each side. Divide each side by 24. Answer: –2 Lesson 1 Ex3

  12. A. • A • B • C • D A. 0.65 B. 4.5 C. –14.5 D. 147 Lesson 1 CYP3

  13. B. • A • B • C • D A. 9 B. 8.9 C. 3 D. 1.8 Lesson 1 CYP3

  14. Solve Problems Using Proportions TRAINS A boxcar on a train has a length of 40 feet and a width of 9 feet. A scale model is made with a length of 16 inches. Find the width of the model. Because the scale model of the boxcar and the boxcar are in proportion, you can write a proportion to show the relationship between their measures. Since both ratios compare feet to inches, you need not convert all the lengths to the same unit of measure. Lesson 1 Ex4

  15. Solve Problems Using Proportions Substitution Cross products Multiply. Divide each side by 40. Answer: The width of the model is 3.6 inches. Lesson 1 Ex4

  16. Two large cylindrical containers are in proportion. The height of the larger container is 25 meters with a diameter of 8 meters. The height of the smaller container is 7 meters. Find the diameter of the smaller container. • A • B • C • D A. 0.6 m B. 2.24 m C. 2.52 m D. 28.57 m Lesson 1 CYP4

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