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?

[math]\frac{AD}{CD}>\frac{BE}{CE}[/math] [math]\frac{AD}{CD}=\frac{BE}{CE}[/math] [math]\frac{AD}{CD}<\frac{BE}{CE}[/math]

Move point D along segment AC. How do the ratios change?

The ratios change but are still equal to one another The ratios change and are no longer equal The ratios don't 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?

[math]\frac{AC}{CD}=\frac{BC}{CE}[/math] [math]\frac{AC}{CD}<\frac{BC}{CE}[/math] [math]\frac{AC}{CD}>\frac{BC}{CE}[/math]

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Solve for x using the side-splitter theorem

6.6 6 3 15

Side Splitter Exploration

Information: Side Splitter Exploration