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Transformations

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!

Congruence	Experiment with transformations in the plane Understand congruence in terms of rigid motion
Geometry	Experiment with transformations in the plane Transformations Understand congruence in terms of rigid motions Understand similarity in terms of similarity transformations
Language	English Language
Mathematics and Statistics Assessment	Transformations and Symmetry
Similarity, Right Triangles, and Trigonometry	Understand similarity in terms of transformations

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.