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### 17 Cards in this Set

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 ratio the ratio of x to y (y can't=0)is x/y and is sometimes written x:y. It is expressed in simplest form. proportion an equation stating that two ratios are =. term of a proportion a proportion in the form a/b=c/d; a is the first term, b is the second and so on. extended proportion an equation showing that three or more ratios are = extremes of a proportion the first and last terms means of a proportion the middle terms means-extremes property of proportions the product of the means = the product of the extremes Properties of Proportions 1. a/b=c/d is equivalent to a) ad=bc b) a/c=b/d c) b/a= d/c d)(a+b)/b= (c+d)/d 2. if a/b=c/d=e/f=..., then a+c+e+.../b+d+f+...=a/b=... two polygons are similar if... their vertices can be paired so that: 1) <-. angles are congruent 2)<-> sides are in proportion scale factor if two polygons are similar, then the ratio of the lengths of two <->sides AA similarity postulate If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar SAS Similarity theorem If an angle of one trianle is congruent to an angle of another triangle and the sides including those angles are in proportion, then the triangles are similar SSS Similarity theorem If the sides of two triangles are in proportion, then the triangles are similar divided proportionally If points L and M lie on line AB and line CD, respectively, and AL/LB=CM/MD, then line AB and line CD are divided proportionally Triangle Proportionality Theorem If a line parallel to one side of a triangle intersects the other two sides, then it divides those side proportionally If three parallel lines intersect two transversals,.... then they divide the transversals proportionally Triangle Angle Bisector Theorem If a ray bisects an angle of a triangle, then it divides the opposite side into segments proportional to the other two sides