Warm Up Find the slope of the line through each pair of points. 1. (1, 5) and (3, 9) 2. (–6, 4)...
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Transcript of Warm Up Find the slope of the line through each pair of points. 1. (1, 5) and (3, 9) 2. (–6, 4)...
![Page 1: Warm Up Find the slope of the line through each pair of points. 1. (1, 5) and (3, 9) 2. (–6, 4) and (6, –2) Solve each equation.](https://reader035.fdocuments.us/reader035/viewer/2022070500/5681682e550346895dddcc95/html5/thumbnails/1.jpg)
Warm UpFind the slope of the line through each pair of points.
1. (1, 5) and (3, 9)2. (–6, 4) and (6, –2)Solve each equation.3. 4x + 5x + 6x = 454. (x – 5)2 = 815. Write in simplest form.
7-1 Ratio and Proportion Class NotesName: ___________________ Date: 1/22/13
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VocabularyWord Definition Picture/Example
ratio
proportion
extremes
means
cross products
![Page 3: Warm Up Find the slope of the line through each pair of points. 1. (1, 5) and (3, 9) 2. (–6, 4) and (6, –2) Solve each equation.](https://reader035.fdocuments.us/reader035/viewer/2022070500/5681682e550346895dddcc95/html5/thumbnails/3.jpg)
Example 1: Writing RatiosWrite a ratio expressing the slope of l.
![Page 4: Warm Up Find the slope of the line through each pair of points. 1. (1, 5) and (3, 9) 2. (–6, 4) and (6, –2) Solve each equation.](https://reader035.fdocuments.us/reader035/viewer/2022070500/5681682e550346895dddcc95/html5/thumbnails/4.jpg)
Example 2: Using Ratios
The ratio of the side lengths of a triangle is 4:7:5, and its perimeter is 96 cm. What is the length of the shortest side?
![Page 5: Warm Up Find the slope of the line through each pair of points. 1. (1, 5) and (3, 9) 2. (–6, 4) and (6, –2) Solve each equation.](https://reader035.fdocuments.us/reader035/viewer/2022070500/5681682e550346895dddcc95/html5/thumbnails/5.jpg)
Example 3: Solving ProportionsSolve the proportion.
![Page 6: Warm Up Find the slope of the line through each pair of points. 1. (1, 5) and (3, 9) 2. (–6, 4) and (6, –2) Solve each equation.](https://reader035.fdocuments.us/reader035/viewer/2022070500/5681682e550346895dddcc95/html5/thumbnails/6.jpg)
Example 4: Solving ProportionsSolve the proportion.
![Page 7: Warm Up Find the slope of the line through each pair of points. 1. (1, 5) and (3, 9) 2. (–6, 4) and (6, –2) Solve each equation.](https://reader035.fdocuments.us/reader035/viewer/2022070500/5681682e550346895dddcc95/html5/thumbnails/7.jpg)
Example 5: Using Properties of ProportionsGiven that 18c = 24d, find the ratio of d to c in simplest form.
![Page 8: Warm Up Find the slope of the line through each pair of points. 1. (1, 5) and (3, 9) 2. (–6, 4) and (6, –2) Solve each equation.](https://reader035.fdocuments.us/reader035/viewer/2022070500/5681682e550346895dddcc95/html5/thumbnails/8.jpg)
Example 6: Problem-Solving ApplicationMarta is making a scale drawing of her bedroom. Her rectangular room is 12 feet wide and 15 feet long. On the scale drawing, the width of her room is 5 inches. What is the length?
![Page 9: Warm Up Find the slope of the line through each pair of points. 1. (1, 5) and (3, 9) 2. (–6, 4) and (6, –2) Solve each equation.](https://reader035.fdocuments.us/reader035/viewer/2022070500/5681682e550346895dddcc95/html5/thumbnails/9.jpg)
Lesson Quiz1. The ratio of the angle measures in a triangle is
1:5:6. What is the measure of each angle?
Solve each proportion.
2. 3.
4. Given that 14a = 35b, find the ratio of a to b in simplest form.
5. An apartment building is 90 ft tall and 55 ft wide. If a scale model of this building is 11 in. wide, how tall is the scale model of the building?
![Page 10: Warm Up Find the slope of the line through each pair of points. 1. (1, 5) and (3, 9) 2. (–6, 4) and (6, –2) Solve each equation.](https://reader035.fdocuments.us/reader035/viewer/2022070500/5681682e550346895dddcc95/html5/thumbnails/10.jpg)
In a ratio, the denominator of the fraction cannot be zero because division by zero is undefined.
Remember!
The Cross Products Property can also be stated as, “In a proportion, the product of the extremes is equal to the product of the means.”
Reading Math
![Page 11: Warm Up Find the slope of the line through each pair of points. 1. (1, 5) and (3, 9) 2. (–6, 4) and (6, –2) Solve each equation.](https://reader035.fdocuments.us/reader035/viewer/2022070500/5681682e550346895dddcc95/html5/thumbnails/11.jpg)
In a ratio, the denominator of the fraction cannot be zero because division by zero is undefined.
Remember!
The Cross Products Property can also be stated as, “In a proportion, the product of the extremes is equal to the product of the means.”
Reading Math
![Page 12: Warm Up Find the slope of the line through each pair of points. 1. (1, 5) and (3, 9) 2. (–6, 4) and (6, –2) Solve each equation.](https://reader035.fdocuments.us/reader035/viewer/2022070500/5681682e550346895dddcc95/html5/thumbnails/12.jpg)
In a ratio, the denominator of the fraction cannot be zero because division by zero is undefined.
Remember!
The Cross Products Property can also be stated as, “In a proportion, the product of the extremes is equal to the product of the means.”
Reading Math
![Page 13: Warm Up Find the slope of the line through each pair of points. 1. (1, 5) and (3, 9) 2. (–6, 4) and (6, –2) Solve each equation.](https://reader035.fdocuments.us/reader035/viewer/2022070500/5681682e550346895dddcc95/html5/thumbnails/13.jpg)
In a ratio, the denominator of the fraction cannot be zero because division by zero is undefined.
Remember!
The Cross Products Property can also be stated as, “In a proportion, the product of the extremes is equal to the product of the means.”
Reading Math
![Page 14: Warm Up Find the slope of the line through each pair of points. 1. (1, 5) and (3, 9) 2. (–6, 4) and (6, –2) Solve each equation.](https://reader035.fdocuments.us/reader035/viewer/2022070500/5681682e550346895dddcc95/html5/thumbnails/14.jpg)
In a ratio, the denominator of the fraction cannot be zero because division by zero is undefined.
Remember!
The Cross Products Property can also be stated as, “In a proportion, the product of the extremes is equal to the product of the means.”
Reading Math
![Page 15: Warm Up Find the slope of the line through each pair of points. 1. (1, 5) and (3, 9) 2. (–6, 4) and (6, –2) Solve each equation.](https://reader035.fdocuments.us/reader035/viewer/2022070500/5681682e550346895dddcc95/html5/thumbnails/15.jpg)
In a ratio, the denominator of the fraction cannot be zero because division by zero is undefined.
Remember!
The Cross Products Property can also be stated as, “In a proportion, the product of the extremes is equal to the product of the means.”
Reading Math
![Page 16: Warm Up Find the slope of the line through each pair of points. 1. (1, 5) and (3, 9) 2. (–6, 4) and (6, –2) Solve each equation.](https://reader035.fdocuments.us/reader035/viewer/2022070500/5681682e550346895dddcc95/html5/thumbnails/16.jpg)
In a ratio, the denominator of the fraction cannot be zero because division by zero is undefined.
Remember!
The Cross Products Property can also be stated as, “In a proportion, the product of the extremes is equal to the product of the means.”
Reading Math
![Page 17: Warm Up Find the slope of the line through each pair of points. 1. (1, 5) and (3, 9) 2. (–6, 4) and (6, –2) Solve each equation.](https://reader035.fdocuments.us/reader035/viewer/2022070500/5681682e550346895dddcc95/html5/thumbnails/17.jpg)
In a ratio, the denominator of the fraction cannot be zero because division by zero is undefined.
Remember!
The Cross Products Property can also be stated as, “In a proportion, the product of the extremes is equal to the product of the means.”
Reading Math
![Page 18: Warm Up Find the slope of the line through each pair of points. 1. (1, 5) and (3, 9) 2. (–6, 4) and (6, –2) Solve each equation.](https://reader035.fdocuments.us/reader035/viewer/2022070500/5681682e550346895dddcc95/html5/thumbnails/18.jpg)
In a ratio, the denominator of the fraction cannot be zero because division by zero is undefined.
Remember!
The Cross Products Property can also be stated as, “In a proportion, the product of the extremes is equal to the product of the means.”
Reading Math