8.4+THE+SIDE-SPLITTING+THEROEM.+T&amp;A

OBJECTIVES: 1. Develop and prove the side-splitting theorem. 2. Use the Side-Splitting theorem to solve problems.

SIDE-SPLITTING THEOREM-** A line parallel to one side of the triangle divides the other two sides proportionally. parallel lines divide two intersecing transversals proportionally.
 * __DEFINITIONS AND BLUE BOXES :__
 * TWO-TRANSVERSAL PROPORTIONALITY COROLLARY**- Three or more

If you are looking for X in a problem and you are using the side-splitting theroem you do this, you have three numbers given and you have to find X you would take put X over the number that it is by and then you put the other two numbers over eachother. In our series of numbers it would be X over 4 and 9 over 6. After that you cross multiply so you take 9 times 4 and that is 36 and then you divide that by 6 and the answer is 6.
 * __EXAMPLES:__**