ShmoopTube

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Here’s your shmoop du jour, brought to you by segments.

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For an added challenge, try to solve it while riding a segway. It’s just a seg-gestion.

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If AC = CE and AB = DE, then BC is equal to which of the following?

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Here are the potential answers...

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All righty…so we’ve got this line…which appears to be some sort of subway map…

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…and we’re sitting inside, wondering how long it’s going to be to take us to get from Street B to Street C.

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So to solve this one, we’re going to have to think of certain segments in terms of other segments…

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For example, we don’t know the length of BC…

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…but we do know, just by looking at the diagram, that it’s equal to AC minus AB.

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Because AC is equal to CE…

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…and AB is equal to DE…

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…we can also conclude that BC is equal to CE minus DE.

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Well, using the same logic we used in the first place, CE minus DE is the same as length as CD…

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…so BC is equal in length to CD…

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…which is choice B and we're done.

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