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Parallel lines, Transversals and Segments

Discover the metric relationship that exists between some special segments intercepted on two transversals by a family of lines, explore the proof of this property step by step, and then test yourself with the questions that follow.

Practice Zone

Does the converse of this theorem hold? State it, then explain or prove your answer, possibly using examples or counterexamples.

In a triangle , with base , the segment joins the midpoint of the side with the midpoint of side . What can you say about segment ? Is it true that ? Explain your answer, possibly using examples or counterexamples.