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6.1-6.3
Question | Answer |
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Ratio of a to b | a comparison of two numbers using division |
Proportion | an equation that states that two ratios are equal |
Means | the middle terms of a proportion |
Extremes of a proportion | the first and last terms of a proportion |
Cross Products Property of Proportions | in a proportion, the product of the extremes equals the product of the means |
Geometric Mean | For two positive numbers a and b, the positive number x that satisfies a/x=x/b. So x2=ab and x=radicalab |
Additional Properties of Proportions | 2. Reciprocal Property- if two ratios are equal, then their reciprocals are also equal 3. If you interchange the means of a proportion, then you form another true proportion 4. In a proportion, if you add the value of each ratio's denominator to its num |
Scale drawing | a drawing that is the same shape as the object it represents |
Scale | a ratio that describes how the dimensions in a scale drawing are related to the actual dimensions of the object |
Similar Polygons | two polygons such that their corresponding angles are congruent and the lengths of the corresponding sides are proportional |
Scale factor | the ratio of the lengths of two corresponding sides of two similar polygons |
Perimeters of Similar Polygons Theorem | If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths |
Corresponding Lengths in Similar Polygons | If two polygons are similar, then the ratio of any two corresponding lengths in the polygons is equal to the scale factor of the similar polygons |