Chapter 6 Postulates and Theoroms
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
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| cross products property | product of extremes equals product of means
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| reciprocal property | if 2 ratios are equal their reciprocals are equal
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| theorom | for two similar polygons the ratio of their perimeters is equal to the ratio of their corresponding side lenghts
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| AA similarity postulate | if two anglesof one triangle are congruent to two angles of another triangle then the two triangles are congruent
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| SSS similarity | if corresponding side lenghts of two triangles are proportional then the triangles are similar
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| 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
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| 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
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| 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
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| 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
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| theorom | if 3 or more parallel lines intersect two transversals then they cut the transversals proportionally
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| corollary | if 3 or more parallel lines cut off congruent segments on one transversal then they cut off comgruents segments on every transversal
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