Side Splitter Exploration

Below is a simple diagram with line AB, point C, and point D on segment AC. Take a moment to drag the points around to see how it behaves.[br][br]Now use the checkboxes to:[br] 1) create a parallel line through D[br] 2) measure distances AD, CD, BE, CE[br] 3) compare the ratios AD/CD and BE/CE
How do the ratios [math]\frac{AD}{CD}[/math] and [math]\frac{BE}{CE}[/math] compare?
Move point D along segment AC. How do the ratios change?
Now find the length of segment AC.
Find the length of segment BC.
How do the ratios [math]\frac{AC}{CD}[/math] and [math]\frac{BC}{CE}[/math] compare?
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Information: Side Splitter Exploration