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17 Cards in this Set
 Front
 Back
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


meansextremes 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
