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8-4 Proportions in Triangles

8-4 Proportions in Triangles. Class Notes and Examples. Theorem 7-4: Side-Splitter Theorem. If a line runs through a triangle, parallel to one side, then it cuts the sides it crosses proportionally. Corollary to Side-Splitter Theorem.

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8-4 Proportions in Triangles

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  1. 8-4 Proportions in Triangles Class Notes and Examples

  2. Theorem 7-4: Side-Splitter Theorem • If a line runs through a triangle, parallel to one side, then it cuts the sides it crosses proportionally.

  3. Corollary to Side-Splitter Theorem • If three parallel lines cross two transversals, the segments created are proportional.

  4. Theorem 7-5: Triangle Angle Bisector Theorem • If a ray bisects an angle, then it cuts the opposite side into segments which are proportional to the sides.

  5. Examples • 1.) What is the value of x in the diagram?

  6. Examples • 2.) Two plots of land are shown below. What is the unknown length, x?

  7. Examples • 3.) What is the value of x in the diagram?

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