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Chapter 6 Postulates and Theoroms
| Name | Definition |
|---|---|
| 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 |
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