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# chapter 6.1-6.3

### math

TermDefinition
ratio of a to b a comparison of two numbers using division. the ratio of a to b, where b is not equal to 0, can be written as a to b, as a:b, or a over b
proportion an equation that states that two ratios are equal
means the middle term
extremes of a proportion the first and last terms of a proportion
cross products property of a proportion 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 x^2 = ab and x=sq.root ab
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 ratios denominator to its numerator, then you form another true proportion
scale drawing a drawing that is the same shape as the object it represents
scale a ratio that describes how the dimension is 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 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.
Created by: moneil5