Similar Figures and Side Splitter Exploration

Topic:
Geometry
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 Feel free to estimate when using the ratios as the values are not perfect.

How do the angles of triangle ABC compare to the angles of triangle DEC?

Now find the length of segment AC.

Find the length of segment BC.

How do the ratios and compare?

Select all that apply
  • A
  • B
  • C

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

Select all that apply
  • A
  • B
  • C
Note that we can do the same comparisons using AB and DE to show they are proportional.

How do the ratios and compare?

Select all that apply
  • A
  • B
  • C

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

Select all that apply
  • A
  • B
  • C