6.1.1 RATIOS, PROPORTIONS, AND THE GEOMETRIC MEAN Chapter 6: Similarity.

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Presentation transcript:

6.1.1 RATIOS, PROPORTIONS, AND THE GEOMETRIC MEAN Chapter 6: Similarity

Ratios and proportions Ratio is a comparison of two numbers  A:B or  Equivalent ratios  Ex 2:1 is equivalent to 4:2 Proportions is an equation that states two ratios are equal Extremes Means

Simplifying and Cross Products For any ratio, we can use division or multiplication to simplify a ratio  Ex: 32: 16  2:1 1.5: 1  3:2 Cross product, the product of the means set equal to the product of the extremes

The geometric mean Remember the mean (algebraic) of two numbers a and b is For two numbers a and b the geometric mean is This is because the geometric mean, x, is solve using algebra

Solve the following Find the geometric and algebraic means of the following numbers: 0, 4 0, 10 5, 9

Homework p , 3 – 9 odd, 18, 24 – 30 even, 33, 34, 42, 45, 52, 60