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8.5:Proportions in Triangles

8.5:Proportions in Triangles. Objectives: To use the Side-Splitter Theorem to find missing dimensions in triangles To use the Triangle-Angle Bisector Theorem to find missing dimensions in a triangle. . Side-Splitter Theorem.

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8.5:Proportions in Triangles

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  1. 8.5:Proportions in Triangles Objectives: To use the Side-Splitter Theorem to find missing dimensions in triangles To use the Triangle-Angle Bisector Theorem to find missing dimensions in a triangle.

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

  3. Solve for x: 16 10 x 5

  4. Corollary to Side-Splitter Theorem If 3 parallel lines intersect 2 transversals, then the segments intersected on the transversals are proportional

  5. Example: Find x.

  6. Triangle-Angle Bisector Theorem If a ray bisects an angle of a triangle, then it divides the opposite side into 2 segments that are proportional to the other 2 sides of the triangle.

  7. Find the missing length: 1. 2.

  8. Find the value of x. 6 5 8 x

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