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Transcript
Name: Chapter 11 Vocabulary & Conjectures 11.1 Similar Polygons 11.1 Dilation 11.1 Dilation Similarity Conjecture 11.2 AA Similarity Conjecture 11.2 SSS Similarity Conjecture 11.2 SAS Similarity Conjecture If one polygon is a dilated image of another polygon, then ______________________________ If ______ angles of one triangle are congruent to ______ angles of another triangle, then ____________________________. If the three sides of one triangle are proportional to the three sides of another triangle, then the two triangles are __________________. If two sides of one triangle are proportional to two sides of another triangle and _____________________________, then the _______________________. Indirect Measurement 11.3 11.4 Proportional Parts Conjecture If two triangles are similar, then the lengths of the corresponding ____________, ____________, and ____________ are _______________ to the lengths of the corresponding sides. 1 11.4 11.5 11.6 11.7 11.7 Angle Bisector/Opposite Side Conjecture Proportional Areas Conjecture (and Surface Areas) Proportional Volumes Conjecture A bisector of an angle in a triangle divides the opposite side into two segments whose lengths are in the same ratio as _______________________________ _______________________________. If corresponding side lengths of two similar polygons or the radii of two circles compare in the ratio m/n, then their areas compare in the ratio __________. If corresponding edge lengths (or radii, or heights) of two similar solids compare in the ratio m/n, then their volumes compare in the ratio ________. If a line parallel to one side of a triangle passes through the other two sides, then it divides the other two Parallel/Proportional sides ________________. ity Conjecture Conversely, if a line cuts two sides of a triangle proportionally, then it is ______________ to the third side. If two or more lines pass through two sides of a triangle parallel to the third Extended Parallel/Proportional side, then they divide the two sides ________________________. ity Conjecture 2