unit 5 - similar triangles
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9 Terms
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proportion
an equation of two equal ratios
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property of proportions
the product of the means is the product of the extremes
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you can reciprocate each ratio in a proportion
a/b \= c/d then b/a \= d/c
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you can switch the means and/or the extremes
a/b \= c/d then a/c \= b/d OR d/b \= c/a OR d/c \= b/a
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means
the middle terms of a proportion
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extremes
the first and last terms of a proportion
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similarity
two shapes are similar if their corresponding angles are congruent and the corresponding sides are proportional (equal ratios)
(- ratio is the scale factor)
(- ratio is the scale factor)
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if two shapes are similar, the ratio of their perimeters is the same as their scale factor
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angle-angle similarity postulate
if two angles of one triangle are congruent to two angles of another, then the two triangles are similar