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?

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  • A
  • B
  • C
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Move point D along segment AC. How do the ratios change?

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  • A
  • B
  • C
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Now find the length of segment AC.

Find the length of segment BC.

How do the ratios and compare?

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  • A
  • B
  • C
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Solve for x using the side-splitter theorem

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  • A
  • B
  • C
  • D
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