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Lines, Segments, and Rays 5330 Views
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Description:
A sequel to the 1989 classic Segments, Lines, and Videotape, this video will change the way you think about lines, segments, and rays. Unless you already have a pretty good grasp on them, in which case... just enjoy the pretty moving pictures.
Transcript
- 00:04
Lines, Segments, and Rays, a la Shmoop.
- 00:09
This is Astrid.
- 00:10
She’s first in line at a midnight video game release.
- 00:13
It’s currently 9 PM.
- 00:16
If only she could apply this kind of ambition to her schoolwork.
Full Transcript
- 00:19
With such a long time to wait, Astrid is bored out of her mind,
- 00:22
and wonders if there’s a way she can make her situation more interesting…
- 00:26
For once in her life, she decides to relate her circumstances to a mathematical concept.
- 00:32
Astrid is a stationary point at one end of the line, so let’s call her point “A.”
- 00:38
Her best friend Basil just got in line at the other end; he can be point “B.”
- 00:45
The line is getting longer all the time, as additional devotees arrive.
- 00:49
More and more people keep appearing behind Basil, because the game is so darn popular…
- 00:54
in fact, the line is growing… infinitely.
- 00:57
If Astrid never moved from the front of the line, we would say she’s standing in a ray.
- 01:03
It has one endpoint, “A,” and extends infinitely in the direction of point “B.”
- 01:08
So we would call it ray “AB.”
- 01:12
Now imagine someone cuts in front of Astrid while she’s distracted.
- 01:16
And while she was busy arguing with that person, another person cut in front of them. And so on.
- 01:22
If the back of the line kept growing indefinitely and the front of the line was also growing
- 01:25
indefinitely as more and more people cut, we would call this line “AB.”
- 01:30
That’s right; a true line, in mathematical terms, extends infinitely in both directions.
- 01:35
So in reality, Astrid and Basil are currently waiting in a line segment –
- 01:40
specifically, a line segment with endpoints “A” and “B.”
- 01:45
So it would be technically inaccurate to say they’re waiting in… line.
- 01:49
Well, that killed about two minutes.
- 01:51
Only another two hours and fifty-eight minutes to go until she
- 01:54
can get her hands on Math Blasters 4: The Revenge.
- 01:58
Astrid prefers blowing up math problems to solving them.
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