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# Geometry 4.11 Side Splitter Thms

## by Mr. Parisi, Teacher on Mar 30, 2009

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March 30th 2009

March 30th 2009

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## Geometry 4.11 Side Splitter ThmsPresentation Transcript

• 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.
• Objective
• Look at the side splitter theorems.
3-30-09
• Experiment time
• You and a partner will have 15 minutes to work on the experiment on page 308.
• 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.
3-30-09
• 3-30-09
• Take a minute to organize your conclusions.
3-30-09
• Label one of your from #1 triangles like this.
• Measure AB and AD. What do you find?
• Measure AE and AC. What do you find?
3-30-09 A B C D E
• Conclusions 3-30-09
• Theorem 4.1 The Parallel Side Splitter Theorem
• If the segment with endpoints on the two sides of a triangle is parallel to the third side then…
• The segment splits the sides it intersects proportionally
• The ratio of the length of the side of the triangle to the length of the parallel segment is the common ratio
• Theorem 4.2 The Proportional Side-Splitter Theorem
• If the segment with endpoints on two sides of a triangle splits those sides proportionally then the segment is parallel to the third side.
• H/W
• Pg 311 #1-5
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• 3-30-09