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GEOMETRY: Chapter 8. 8.6: Proportions and Similar Triangles. Theorem 8.4. Triangle Proportionality Theorem If a line parallel to one side of a triangle intersects the other two sides, then it divides the two side proportionally.

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## GEOMETRY: Chapter 8

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**GEOMETRY: Chapter 8**8.6: Proportions and Similar Triangles**Theorem 8.4. Triangle Proportionality Theorem**If a line parallel to one side of a triangle intersects the other two sides, then it divides the two side proportionally. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 397.**Theorem 8.5.Converse of the Triangle Proportionality Theorem**If a line divides two sides of a triangle proportionally, then it is parallel to the third side. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 397.**Ex. 1:**Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 398.**Ex. 1:**Answer: 9 Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 398.**Ex. 2:**A brace is added to a tree house as shown. Explain why the brace is not parallel to the floor. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 389.**Ex. 2:**A brace is added to a tree house as shown. Explain why the brace is not parallel to the floor. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 389.**Theorem 8.6:**If three parallel lines intersect two transversals, then they divide the transversals proportionally. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 398.**Theorem 8.7:**If a ray bisects an angle of a triangle, then it divides the opposite side into segments whose lengths are proportional to the lengths of the other two sides. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 398.**Ex. 3. Using the information in the diagram, find the**distance between First Street and Main Street. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 399.**Ex. 3. Using the information in the diagram, find the**distance between First Street and Main Street. Answer: 510 m Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 399.**Ex.4**Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 391.**Ex.4**Answer: 22 6/7 Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 391.**8.6, p. 502, #3-14 all, 21-28 all**(20 questions)

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