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Math Basics: Unit 6.4 Similar Figures 97 Views
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Description:
This video explains similar figures and how to figure out if two shapes are similar using sides and angles. Plus, it discusses how to use one shape figure out unknown measurements of a similar shape.
Transcript
- 00:04
Similar Figures, a la Shmoop.
- 00:07
Alice has been pretty bummed ever since she drank that [Alice drinks a potion in a fair]
- 00:10
potion that shrunk her down to one-sixth her original size.
- 00:14
She’s hoping someone comes along soon with some sort of antidote, but in the meantime…
- 00:17
a girl’s gotta go on living…
Full Transcript
- 00:19
For starters, she’ll need to build a table that…isn’t quite so high off the ground. [Alice with a large hammer]
- 00:24
Her old table…the one that full-sized Alice ate at…had a surface that was five feet
- 00:30
by two feet…and was three feet off the ground.
- 00:33
She knows she’ll have an easier time if she converts those measurements to inches,
- 00:37
so…that’s exactly what she does.
- 00:39
Turns out her table was 60 inches by 24 inches…and 36 inches high. [Alice with her old table]
- 00:43
To figure out the desired size of her new table, she simply has to come up with measurements [Drawing of Alice's new table]
- 00:50
that are directly proportionate to the original.
- 00:53
She is now one-sixth her original size…so her table will need to be the same. [Alice underneath her old table]
- 00:58
She asks her rabbit friend if he’ll lend a paw, but… that guy’s always making up
- 01:01
excuses, acting like he’s got someplace to be. [Rabbit runs away from Alice]
- 01:04
Okay, so… Alice multiplies each measurement by one-sixth to get the following dimensions:
- 01:09
A surface 10 inches by 4 inches… which is 6 inches off the ground.
- 01:15
And just like that, she’s got someplace to eat dinner again. [Alice eating dinner at the table]
- 01:18
Only…she’s missing some place to sit… So she decides to build a stool.
- 01:22
Her old stool had a diameter of one-and-a-half feet, and was two-and-a-half feet high. [Alice's old stool]
- 01:28
Once again, she converts to inches, to get a diameter of 18 inches, and a height of 30 inches.
- 01:33
Dividing both values by 6, she gets a diameter of 3 inches, and a height of 5 inches.
- 01:39
Good thing she’s so skilled at carpentry. [Alice with a large carpentry machine]
- 01:41
Let’s not ask where she got her hands on a miniature band saw…
- 01:45
Ah, what’s this? A cake with a note attached… [Man gives Alice a cake]
- 01:48
“Eat me.” Wow. Rude.
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