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Published byHeather Atkins Modified over 3 years ago

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Ratio: is the comparison of two numbers by division Ratio of two numbers can be shown like this; a to b, a:b, or a/b Proportion: equation that says two ratios are equal To solve a proportion, you have to cross multiply

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If to polygons are similar it means that their corresponding angles are congruent and their corresponding side lengths are proportional, Same shape, different size Scale factor: is the ratio of two corresponding lengths in two similar figures, it shows how much a figure has been enlarged or reduced

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Indirect measure: method that uses formulas, similar figures and/or proportions to measure any object

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Right triangle altitude proportionally theorem: the altitude to the hypotenuse of a right triangle, creates two triangles that are similar to the original triangle and to each other Proportions can be used in real life when you have 20ft of rope to cross a river, and you need to know how wide the river is, you can use proportions to find out if you have enough rope

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A trigonometric ratios is a ratio of two sides of a right triangle SOH CAH TOA Sin= opposite/hypotenuse Cos= adjacent/hypotenuse Tan= opposite/adjacent To solve a triangle is to find out all the lengths of the sides and the measures of the angles

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The trigonometric ratios are used to find lengths but you can use the inverse to find the measure of angles Cos-1(adjacent/hypotenuse)=angle Tan-1(opposite/adjacent)=angle Sin-1(opposite/hypotenuse)=angle

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Angle of elevation: the angle made with the horizontal looking up Angle of depression: the angle from the horizontal down to an object below

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