ShmoopTube

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

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Without them we'd never be able to remember where we buried those barrels full of cash.

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If A = (0, 4), B = (-3, 2), and C = (1, 0), which point is in the interior of angle ABC?

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Here are your choices...

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Well it’s no good trying to imagine this stuff in our mind’s eye,

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when we have access to the magic of pencils…

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…so you always draw a picture...

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…okay, more points and angles, fewer unicorns. There we go. Here are our three points…

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…so if we set this up on a standard grid and connect the dots, we see our triangle taking shape.

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Now, what is this question asking us?

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Which of these five points is in the interior of the angle…

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…in other words, which one will be all snug and warm inside the triangle while the other

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four are outside shivering and catching their death of cold?

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No shortcuts here – we just need to plot each point and see where it lands…

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And boom, we’re done. We can see quite plainly that point (0, 2) is the only one that doesn’t

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need to invest in a winter jacket. Answer: B.

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