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# Geometry 4.11 Side Splitter Thms

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March 30th 2009

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### Geometry 4.11 Side Splitter Thms

1. 1. Do Now Make sure you have the following Lined paper Ruler Partner with a book 3-30-09 If you were told the ratio from figure A to B was 150% and the side length of A was 2 inches. How long is the side length of figure B.
2. 2. Objective <ul><li>Look at the side splitter theorems. </li></ul>3-30-09
3. 3. Experiment time <ul><li>You and a partner will have 15 minutes to work on the experiment on page 308. </li></ul><ul><li>You should each complete Part 1A of the experiment in your notebook. Use lined paper to make the parallel lines and measure the distances between lines and the point. </li></ul>3-30-09
4. 4. 3-30-09
5. 5. <ul><li>Take a minute to organize your conclusions. </li></ul>3-30-09
6. 6. Label one of your from #1 triangles like this. <ul><li>Measure AB and AD. What do you find? </li></ul><ul><li>Measure AE and AC. What do you find? </li></ul>3-30-09 A B C D E
7. 7. Conclusions 3-30-09
8. 8. Theorem 4.1 The Parallel Side Splitter Theorem <ul><li>If the segment with endpoints on the two sides of a triangle is parallel to the third side then… </li></ul><ul><li>The segment splits the sides it intersects proportionally </li></ul><ul><li>The ratio of the length of the side of the triangle to the length of the parallel segment is the common ratio </li></ul>
9. 9. Theorem 4.2 The Proportional Side-Splitter Theorem <ul><li>If the segment with endpoints on two sides of a triangle splits those sides proportionally then the segment is parallel to the third side. </li></ul>
10. 10. H/W <ul><li>Pg 311 #1-5 </li></ul>3-30-09
11. 11. 3-30-09