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Proportions
Similar Polygons
100
What is the ratio of girl soccer players per school to the nearest tenth if the U.S. Census Bureau surveyed 8218 schools nationally about their programs and found that 270,273 girls participated in the soccer program?
The Ratio for this survey was 32.9 girl soccer players for each school.
100
Some special effects in movies are created using miniature models. In a recent movie, a model sports-utility vehicle 22 inches long was created to look like a real 14 2/3 ft SUV. What is the scale factor of the model compared to the real SUV?
14 2/3(12) = 176 inches => convert ft. to in. 22/176 = 1/8 *The ratio comparing the two lengths is 1/8 or 1:8. the scale factor is 1/8, which means that the model is 1/8 the length of the real SUV.
200
3/5 = x/75 : Solve the Proportion
3/5 = x/75 => Original Proportion 3(75) = x/75 => Cross Products 225 = 5x => Multiply 45 = x => Divide Each Side By Five
200
Triangle ABC is similar the Triangle XYZ with a scale factor of 2/3. If the lengths of the sides of Triangle ABC are 6, 8, and 10 inches, what are the lengths of the sides of Triangle XYZ
ABC --> 6 = 2 ABC --> 8 = 2 ABC --> 10 = 2 XYZ --> x 3 XYZ --> y 3 XYZ --> z 3 *The lengths of the sides of Triangle XYZ are 9, 12, and 15 inches.
300
3x-5= -13 => Solve the proportion 4 2
3x-5 = -13 => Original Proportion 4 2 (3x-5)2 = 4(-13) => Cross Products 6x-10 = -52 => Simplify 6x = -42 => Add 10 to Each Side x = -7 => Divide Each Side By 6
300
True or False: Two polygons are similar if and only if their corresponding sides are congruent and the measures of their corresponding angles are proportional.
False: Two polygons are similar if and only if their corresponding angles are congruent and their measures of their corresponding sides are proportional.
400
A designated hitter made 8 hits in 10 games. Find the ratio of hits to games.
number of hits = 8 number of games = 10 The ratio was .8 hits per game.
500
There are 76 boys in a sophomore class of 165 students. Find the ratio of boys to girls.
165 - 76 = 89 => 76 boys & 89 girls 76/89 *The ratio is .9 boys to girls