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rajfk35
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)
Do you need help with both parts?
This is geometry, isn't it?
Yeah. Coordinate Geometry.
yes i need help with both parts
Do you know what a Dilation and Translation is?
translation is it when you move the figure to the opposite side from where it is
And what about a dilation, rajfk?
Translation isn't the opposite side one. Isn't reflection the one that you described?
i do not know that one Darlin
It's when the figure gets bigger or smaller by a certain factor.
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)
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)
So for the first part, translations make geometric objects stay congruent
Because the distances are all still the same
okay i get that part now
Couldn't have said it better myself :)
So you find the coordinates for all 4 points and add or subtract whatever you want to them to get the first part
Shift all the points one column to the right if you're feeling lazy
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
Lazy doesn't get u anywhere.... I know that from experience, but it can work. Just make sure you double check your work...
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
raj. How are you holding up?
Are you done? Or do you still need me?
Can't you do a proportion for the second part to see that they are similar?
Well, yeah. But that's just for checking it. You would be guessing and checking to get the coordinates
okay. Raj. Give me the coordinates for point A I'm too lazy to find it
hmm... good to know... then I have been doing that part wrong for a long time.....
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?
So then you plug x and y in to get (2[-7],2[3]) or (-14,6)
Which means that A11 is (-14,6). Understand?
Well, I understood, but I don't know if Raj did...
Darlin. what are you taking for math next year?
I am finishing up geometry this week
Right now, I'm on geometric proofs. I don't like it at all...
You have class now? But it's the summer break. And mind looking at this? http://openstudy.com/study#/updates/50207fade4b0fef6292c85b8
Yes, I want to skip a grade in the math department..... and sure!!!!!