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Experiment with transformations in the plane Videos 5 videos

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SAT Math 4.2 Geometry and Measurement
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SAT Math 4.2 Geometry and Measurement

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CAHSEE Math 5.4 Measurement and Geometry 342 Views


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Description:

Measurement and Geometry Drill 5 Problem 4. Which of the following best describes the transformation as shown in the graph below?

Language:
English Language

Transcript

00:03

Here’s an unshmoopy question you’ll find on an exam somewhere in life...

00:07

Which of the following best describes the transformation of triangle RST to triangle

00:12

R'S'T', as shown in the graph below?

00:16

And here are the potential answers...

00:23

OK, this is kind of a vocabulary test more than anything,

00:26

and we have a few 5 dollar words we have to define.

00:29

Dilation is when the measurements of a shape expand.

00:29

Dilation is when the measurements of a shape expand.

00:34

Reflection is when a shape is reflected across an axis…

00:39

…and Rotation is when a shape is rotated on a graph.

00:44

Now let’s look at each of the options and see how they stack up…

00:47

It’s easy to see that dilation is… not the droid we’re looking for.

00:51

The triangle certainly does look reflected…

00:53

… but not across the y-axis.

00:55

That would look something like this…

00:59

But choice C supposes we reflect it across

01:01

the x-axis and then move it 6 units to the right…

01:04

…and that looks about right.

01:05

Just to cover all our bases, let’s take a gander at D.

01:08

This triangle COULD be rotated…

01:10

… except that if we’re rotating about the origin, R prime would be at 2,0 and not

01:15

4,0, as shown on the graph. So our answer is indeed C.

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