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Transcript
Chapter 11 Conjectures Section Page # 11.1 Term/Conjecture Definition Drawing/Sketch/Example Dilation Similarity If one polygon is a _______________image of another polygon, then the polygons are ________________________________. 11.2 AA Similarity If _____ angles of one triangle are congruent to _____ angles of another triangle, then the triangles are ________________________. 11.2 SSS Similarity If the _____ sides of one triangle are proportional to the _____ sides of another triangle, then the triangles are ________________________________. 11.2 SAS Similarity If _____ sides of one triangle are proportional to _____ sides of another triangle, and the _______________angles are _______________, then the triangles are ________________________________. 11.4 Proportional Parts If two triangles are similar, then the lengths of the corresponding _________________, ________________ and ________________ are _______________________ to the lengths of the corresponding sides. 11.4 Angle Bisector / A bisector of a angle in a triangle divides the Opposite Side opposite side into two segments whose lengths are in the same ratio as the_______ ____________________________________ ____________________________________ 11.5 Proportional If corresponding side lengths of two similar Areas polygons or the radii of two circles compare in the ratio the ratio m , then their areas compare in n or 11.6 Proportional If corresponding edge lengths (or radii, or Volumes heights) of two similar solids compare in the ratio ratio 11.7 m , then their volumes compare in the n or Parallel If a line parallel to one side of a triangle Proportionality passes through the other two sides, then it divides the other two sides______________. Conversely, if a line cuts two sides of a triangle proportionally, then it is ___________________to the third side. 11.7 Extended Parallel If ____________________ lines pass Proportionality through two sides of a triangle parallel to the third side, then they divide the third side ____________________________.