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Proportions in Triangles

Proportions in Triangles. Watch for Parallel Lines, Transversals, and Angle Bisectors. Side Splitter Theorem (related to Midsegment Theorem). If a line is parallel to ONE side of a triangle AND intersects the other two sides, then it divides those other TWO sides proportionally.

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Proportions in Triangles

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  1. Proportions in Triangles Watch for Parallel Lines, Transversals, and Angle Bisectors

  2. Side Splitter Theorem(related to MidsegmentTheorem) • If a line is parallel to ONE side of a triangle AND intersects the other two sides, then it divides those other TWO sides proportionally.

  3. Corollary to Side Splitter

  4. 2nd Example (In order for the lines to be parallel, then the side portions must be proportional. Right?

  5. Triangle-Angle-Bisector Theorem • If a line bisects an angle of a triangle, then it divides the opposite side into 2 segments which are proportional to the OTHER TWO sides of the triangle. A

  6. Examples

  7. Homework

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