Parallel Lines and Proportional Parts

youngcar, Feb 9, 2016

Investigate what happens when parallel lines cut across 2 transversals. What is the relationship between the ratios of the side lengths that are cut?


  • 1. Parallel Lines Proportionality Theorem
  • 2. Proportional division

1.

Parallel Lines Proportionality Theorem

Use this applet to discover the parallel lines proportionality theorem!

How are the ratios of sides AC to CF related to the ratios of sides EB to ED? Move point A and/or point C to explore. Does your conjecture hold true when you drag point A on top of point B to create a triangle?
– tinhel, Herholdt Bezuidenhout, youngcar

2.

Proportional division
– philipcollett, youngcar

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