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8.5 Proportions in Triangles

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8.5 Proportions in Triangles

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    1. 8.5 Proportions in Triangles Two Theorems One Corollary

    2. Theorem 8-4 Side-Splitter Theorem If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally.

    3. #1 Using the Side-Splitter Theorem

    4. Corollary to Side Side-Splitter Theorem If three parallel lines intersect two transversals, then the segments intercepted on the transversals are proportional.

    5. #2 Using the Side-Splitter Theorem

    6. Triangle-Angle Bisector Theorem If a ray bisects an angle of a triangle, then it divides the opposite side into two segments that are proportional to the other two sides of the triangle.

    7. #3 Using the Triangle-Angle-Bisector Theorem

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