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ACT Math Pre-Algebra: Drill 3, Problem 4. Find the solution to this equation.
Transformations 15751 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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