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.
Now use the checkboxes to:
1) create a parallel line through D
2) measure distances AD, CD, BE, CE
3) compare the ratios AD/CD and BE/CE
How do the ratios and 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 and compare?
Solve for x using the side-splitter theorem