Question

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)

Answer 1

help please

Answer 2

Do you need help with both parts?

Answer 3

This is geometry, isn't it?

Answer 4

Yeah. Coordinate Geometry.

Answer 5

yes i need help with both parts

Answer 6

Do you know what a Dilation and Translation is?

Answer 7

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

Answer 8

And what about a dilation, rajfk?

Answer 9

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

Answer 10

i do not know that one Darlin

Answer 11

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

Answer 12

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)

Answer 13

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)

Answer 14

okay

Answer 15

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

Answer 16

Because the distances are all still the same

Answer 17

okay i get that part now

Answer 18

Couldn't have said it better myself :)

Answer 19

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

Answer 20

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

Answer 21

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

Answer 22

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

Answer 23

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

Answer 24

XD

Answer 25

raj. How are you holding up?

Answer 26

Raj? You there?

Answer 27

yes i am

Answer 28

Are you done? Or do you still need me?

Answer 29

no i still need you

Answer 30

What's up?

Answer 31

part two

Answer 32

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

Answer 33

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

Answer 34

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

Answer 35

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

Answer 36

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?

Answer 37

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

Answer 38

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

Answer 39

Raj?

Answer 40

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

Answer 41

Darlin. what are you taking for math next year?

Answer 42

Algebra 2

Answer 43

I am finishing up geometry this week

Answer 44

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

Answer 45

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

Answer 46

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