Proportions/Side Splitter Theorem

Proportions/Side Splitter Theorem

1. Definition

   • If a line intersects two sides of a triangle and is parallel to the third side of the triangle, it divides those two sides proportionally.
   • Both ratios (fractions) are equal to each other.

2. Resources:

   • http://mathbitsnotebook.com/Geometry/Similarity/SMSplitter.html
     • http://www.shmoop.com/similar-triangles/triangle-proportionality-theorem.html
       • http://math.stackexchange.com/questions/448842/side-splitter-theorem-which-sides-are-proportionally
         • http://www.dummies.com/education/math/geometry/how-to-solve-similar-triangle-problems-with-the-side-splitter-theorem/

3. How to solve it.

   • a/b=c/d
     • If you have a side with two measurements, you will take those two and divide it, and you do the same to the other side, even if it has a variable. That's how you find the answer.