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U.S. History Videos 374 videos

Why Does the Constitution Still Work for Us?
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Ever heard of a "living document"? They eat and breathe just like the rest of us! They even walk around on their own two legs. Okay, fine—maybe t...

The Puritans and the Division of Church and State
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If the Puritans had gotten their way, religion would play a much larger role in lawmaking these days. Want to know more? Watch the video for all th...

Shays' Rebellion
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What happened between the creation of the Articles of Confederation and the ratification of the current U.S. Constitution? This video analyzes the...

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History Trivia: Andrew Jackson's Parrot 98 Views


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Transcript

00:03

SSS Postulate, a la Shmoop Ever since Mr. Purple and Mrs. Yellow [Mr Purple and Mrs Yellow walk out their houses]

00:09

became next-door neighbors, they've had a little rivalry going on between them. [They shout at each other]

00:12

When Mr. Purple had his old BMW fixed ,Mrs. Yellow bought a shiny new one. [Mr Purple in his old BMW, Mrs Yellow in her new BMW]

00:18

When Mrs. Yellow put up lights for Christmas last year… [Christmas lights on Mrs Yellows house]

00:21

…Mr. Purple put a giant inflatable Santa on his lawn. [Giant Santa inflating]

00:25

Most recently, Mr. Purple had his front lawn redesigned into the shape of a triangle… [Mr Purple on a ride-on lawnmower]

00:29

…and it was no surprise to him that Mrs. Yellow did the same. [Mrs Yellow cutting her lawn into a triangle]

00:33

The only question was…

00:34

whose lawn was bigger?

00:35

To settle this dispute we can find out whether or not the triangular lawns are congruent. [Mr Purple and Mrs Yellow pointing at each other]

00:41

Remember if two triangles are congruent, that means all their side lengths and all their angle

00:46

measures are exactly equal.

00:48

In this case, our two triangles both have sides of lengths 6 feet, 8 feet, and 10 feet. [The two traingles drawn next to each other]

00:55

We know that when two sides are equal in length, they're congruent.

00:59

So the 6-foot sides are congruent to each other, the 8-foot sides are congruent to each

01:04

other…

01:05

…and there's only one 10-foot side, which is congruent to itself. [Arrows pointing to the different lengths]

01:08

To prove that two shapes are congruent, we need to make sure all the side lengths and [Teacher at the front of a class]

01:12

angle measures are congruent.

01:15

But triangles are special.

01:16

Instead of finding all the angle measures, we can use a shortcut called Side-Side-Side, [Classroom full of students]

01:22

or SSS Postulate.

01:25

The Side-Side-Side Postulate says that if all three sides of one triangle are congruent

01:30

to all three sides of another triangle, both these triangles are congruent.

01:35

Basically, with SSS, we don't need to worry about angle measures. [Two snakes in love]

01:39

As long as we can prove that all three sides of both triangles are congruent, we can say

01:43

with absolute certainty that the triangles themselves are congruent.

01:47

Since we know the sides of Mr. Purple's lawn are 6 feet, 8 feet, and 10 feet in length… [Mr Purple mowing his lawn]

01:53

and the sides of Mrs. Purplethorn's lawn are 6 feet, 8 feet, and 10 feet in length… [Mrs Yellow mowing her lawn]

01:57

…we can say that, according to the SSS Postulate, the two triangles are congruent to each other.

02:04

And are the exact same size.

02:06

Guess who doesn’t exactly believe in ties? [Mr Purple and Mrs Yellow running at each other with shovels]

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