Intercept theorem-

  • Thread starter lwymarie
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intercept theorem--urgent

does the converse to the intercept theorem hold? i.e. if three lines make equal intercepts on each of two transversals PQ and RS as shown, is it true that the three lines must be parallel? can you produce a counter-example? (a drawing indicated with length measurements in necessary)

I can draw the diagram of a counter-example but i don't know how to write the steps of proving it:(
 

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Andrew Mason
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lwymarie said:
does the converse to the intercept theorem hold? i.e. if three lines make equal intercepts on each of two transversals PQ and RS as shown, is it true that the three lines must be parallel? can you produce a counter-example? (a drawing indicated with length measurements in necessary)

I can draw the diagram of a counter-example but i don't know how to write the steps of proving it:(
Perhaps you could attach the drawing. The description of the problem is not clear.

AM
 

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