Corollary of the Side Splitter Theorem

Given: line AB || line HG || line EF.
What do you notice about how the two transversals have been cut by the three parallel lines?
Click and drag points C and/or D to move the parallel lines up and down, click and drag points A or B to change the slopes of the parallel lines and test your conjecture.
Write a conjecture about how three parallel lines cut two transversals.
How do the ratios [math]\frac{AH}{HE}[/math] and [math]\frac{BG}{GF}[/math] compare?
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Informazioni: Corollary of the Side Splitter Theorem