Observe parallelogram ABCD plotted on the coordinate plane below.
Part I: Provide the coordinates of a parallelogram A’B’C’D’ that is congruent to parallelogram ABCD. Explain why these figures are congruent. (4 points)
Part II: Provide the coordinates of a parallelogram A’’B’’C’’D’’ that is similar to parallelogram ABCD. Explain why these figures are similar. (6 points)

- anonymous

- jamiebookeater

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- anonymous

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- anonymous

help please

- anonymous

Do you need help with both parts?

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- anonymous

This is geometry, isn't it?

- anonymous

Yeah. Coordinate Geometry.

- anonymous

yes i need help with both parts

- anonymous

Do you know what a Dilation and Translation is?

- anonymous

translation is it when you move the figure to the opposite side from where it is

- anonymous

And what about a dilation, rajfk?

- anonymous

Translation isn't the opposite side one. Isn't reflection the one that you described?

- anonymous

i do not know that one Darlin

- anonymous

It's when the figure gets bigger or smaller by a certain factor.

- anonymous

So anyway, translation is when you add random numbers to both x and y. An example of that would be (x,y)--> (x+1,y+3)

- anonymous

Dilation is when something gets smaller or bigger by a constant like Darlin said. An example, if the constant is 2 would be (x,y)-->(2x,2y)

- anonymous

okay

- anonymous

So for the first part, translations make geometric objects stay congruent

- anonymous

Because the distances are all still the same

- anonymous

okay i get that part now

- anonymous

Couldn't have said it better myself :)

- anonymous

So you find the coordinates for all 4 points and add or subtract whatever you want to them to get the first part

- anonymous

Shift all the points one column to the right if you're feeling lazy

- anonymous

For the second part, what you want to do is get the coordinates and multiply x and y by 2. Then you plot the new coordinates you found

- anonymous

Lazy doesn't get u anywhere.... I know that from experience, but it can work. Just make sure you double check your work...

- anonymous

Lazy gets you somewhere if you're good at it. But that's just for math. I fell asleep for the math placement test and got double period algebra. But I got an 100 average for it

- anonymous

XD

- anonymous

raj. How are you holding up?

- anonymous

Raj? You there?

- anonymous

yes i am

- anonymous

Are you done? Or do you still need me?

- anonymous

no i still need you

- anonymous

What's up?

- anonymous

part two

- anonymous

Can't you do a proportion for the second part to see that they are similar?

- anonymous

Well, yeah. But that's just for checking it. You would be guessing and checking to get the coordinates

- anonymous

okay. Raj. Give me the coordinates for point A I'm too lazy to find it

- anonymous

hmm... good to know... then I have been doing that part wrong for a long time.....

- anonymous

Alright. You're taking too long to find it for me. so A is (-7,3). What you do is make up a random constant like 2. So (x,y)->(2x,2y), right?

- anonymous

So then you plug x and y in to get (2[-7],2[3]) or (-14,6)

- anonymous

Which means that A11 is (-14,6). Understand?

- anonymous

Raj?

- anonymous

Well, I understood, but I don't know if Raj did...

- anonymous

Darlin. what are you taking for math next year?

- anonymous

Algebra 2

- anonymous

I am finishing up geometry this week

- anonymous

Right now, I'm on geometric proofs. I don't like it at all...

- anonymous

You have class now? But it's the summer break. And mind looking at this?http://openstudy.com/study#/updates/50207fade4b0fef6292c85b8

- anonymous

Yes, I want to skip a grade in the math department..... and sure!!!!!

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