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Math II Videos 98 videos
This video covers both independent and dependent events, although we much prefer independent events. Dependent events are just so dang clingy.
Disjoint events are events that cannot happen at the same time. If one happens, the other doesn't. Simple as that. Overlapping events, on the other...
SAT Math 1.1 Numbers and Operations. How many combinations of beverage and cereal can be made?
Transformations 16013 Views
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Description:
If you were looking for the trailer for the new Michael Bay movie, you've got the wrong number. Transformations are rotations, reflections, and translations. Coordinates may be different after a transformation, but the shape has the same size, area, angles, and line lengths. Shmooptimus Prime to the rescue!
- Mathematics and Statistics Assessment / Transformations and Symmetry
- Geometry / Experiment with transformations in the plane
- Geometry / Understand congruence in terms of rigid motions
- Geometry / Understand similarity in terms of similarity transformations
- Congruence / Experiment with transformations in the plane
- Congruence / Understand congruence in terms of rigid motion
- Similarity, Right Triangles, and Trigonometry / Understand similarity in terms of transformations
Transcript
- 00:00
Transformations, a la Shmoop. No matter how spectacular you are…
- 00:09
…and we’re sure you’re pretty spectacular… …sometimes you just need a new… you.
- 00:14
Maybe you’ve been thinking about getting brown highlights.
- 00:18
Or perhaps it’s time to start speaking to everyone in a British accent.
- 00:24
Change is good… …most of the time, at least.
Full Transcript
- 00:27
Well, you’re not the only one who feels good after an extreme makeover.
- 00:32
Suppose for a moment… that you are a two dimensional shape located on a coordinate
- 00:36
plane.
- 00:38
Sounds like fun, right? Well then it’s time for a transformation.
- 00:41
A transformation involves a shape being flipped, shifted or spun around…
- 00:46
…so it can get a little excitement in its life.
- 00:49
Of course, mathematicians have come up with some fancier names for these maneuvers…
- 00:53
When a shape is turned in one direction or another, it is called rotation.
- 01:01
Car tires…
- 01:02
…a Lazy Susan…
- 01:03
…even our planet …all adhere to this rotational movement.
- 01:08
If a shape instead maintains its orientation but gets shifted somewhere else – up, down
- 01:13
or side-to-side…
- 01:14
… then we call that translation. Be careful to keep tabs on your shapes at
- 01:19
all times when performing this process…
- 01:21
…as you don’t want them to wind up lost in translation.
- 01:24
And, as the best things always come in threes…
- 01:29
… there is one more type of transformation – reflection.
- 01:35
As you might guess, reflection occurs when you take a 2D shape and… flip it.
- 01:40
Eh… more like this. And wouldn’t you know it – our little
- 01:44
triangle friend is so much happier now that he’s gotten to reinvent himself!
- 01:48
So step into the salon…
- 01:53
…and get ready for your transformation.
- 01:55
You’ll love the way you look. We guarantee it.
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