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SAT Math 1.2 Geometry and Measurement 245 Views


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SAT Math: Geometry and Measurement Drill 1, Problem 2. If A = (0, 4), B = (-3, 2), and C = (1, 0), which point is in the interior of angle ABC?

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Transcript

00:02

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

00:06

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

00:11

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

00:22

Here are your choices...

00:27

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

00:30

when we have access to the magic of pencils…

00:32

…so you always draw a picture...

00:35

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

00:41

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

00:47

Now, what is this question asking us?

00:49

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

00:55

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

00:58

four are outside shivering and catching their death of cold?

01:02

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

01:05

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

01:12

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

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