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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?
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,
Full Transcript
- 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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