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# Similarity

### Chapter 6 Postulates and Theoroms

NameDefinition
cross products property product of extremes equals product of means
reciprocal property if 2 ratios are equal their reciprocals are equal
theorom for two similar polygons the ratio of their perimeters is equal to the ratio of their corresponding side lenghts
AA similarity postulate if two anglesof one triangle are congruent to two angles of another triangle then the two triangles are congruent
SSS similarity if corresponding side lenghts of two triangles are proportional then the triangles are similar
SAS similarity theorom if an angle of one triangle id congruent to an angle of a second triangle, and the lenghts of the sides including these angles are proportional then the triangles are similar
triangle proportional theorom if a line is parallel to one side of a triangle and intersects the other two sides in distict pointsthe it separates those sides in proportional lenghts
converse of ^^ of a line intersects two sides of a triangle and separates the siders into two corresponding segments of proportional lengths then the line is parallel to the third side
theorom a segment whose midpoints of two sides of a triangle is parallel to the third side of the triangle and the segment length is equal to 1/2 the length of the third side
theorom if 3 or more parallel lines intersect two transversals then they cut the transversals proportionally
corollary if 3 or more parallel lines cut off congruent segments on one transversal then they cut off comgruents segments on every transversal