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Chapter 11 Geo


C-97 AGNLE BISECTOR/OPPOSITE SIDE CONJECTURE A bisector of an angle tin a triangle divides the opposite side into two segments whose lengths are in the same ratio as the lengths off the two sides forming the angle.
C-98 PROPORTIONAL AREAS CONJECTURE If corresponding sides of two similar polygons or the radii of two circles compare in the ration m/n, then their areas compare in the ratio (m/n)^2
C-99 PROPORTIONAL VOLUMES CONJECTURE If corresponding edges (or radi or heights) of two similar solids compare in the ratio m/n, then their volumes compare in the ratio of (m/n)^3.
C-100 Parallel/PROPORTIONALITY CONJECTURE If a line parallel to one side of a triangle passes through the other two sides, then it divides the other two sides proportionally. Conversely, if a line cuts two sides of triangle proportionally, then it is parallel to the third side.
C-101 EXTENDED PARALLEL / PROPORTIONALITY CONJECTURE If two or more lines pass through two sides of a triangle parallel to the third side, then they divide the two sides proportionally.
Created by: tenrten