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rajfk35

  • 3 years ago

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)

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  1. rajfk35
    • 3 years ago
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  2. rajfk35
    • 3 years ago
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    help please

  3. Grazes
    • 3 years ago
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    Do you need help with both parts?

  4. DarlingDare
    • 3 years ago
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    This is geometry, isn't it?

  5. Grazes
    • 3 years ago
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    Yeah. Coordinate Geometry.

  6. rajfk35
    • 3 years ago
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    yes i need help with both parts

  7. Grazes
    • 3 years ago
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    Do you know what a Dilation and Translation is?

  8. rajfk35
    • 3 years ago
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    translation is it when you move the figure to the opposite side from where it is

  9. DarlingDare
    • 3 years ago
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    And what about a dilation, rajfk?

  10. Grazes
    • 3 years ago
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    Translation isn't the opposite side one. Isn't reflection the one that you described?

  11. rajfk35
    • 3 years ago
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    i do not know that one Darlin

  12. DarlingDare
    • 3 years ago
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    It's when the figure gets bigger or smaller by a certain factor.

  13. Grazes
    • 3 years ago
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    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)

  14. Grazes
    • 3 years ago
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    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)

  15. rajfk35
    • 3 years ago
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    okay

  16. Grazes
    • 3 years ago
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    So for the first part, translations make geometric objects stay congruent

  17. Grazes
    • 3 years ago
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    Because the distances are all still the same

  18. rajfk35
    • 3 years ago
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    okay i get that part now

  19. DarlingDare
    • 3 years ago
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    Couldn't have said it better myself :)

  20. Grazes
    • 3 years ago
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    So you find the coordinates for all 4 points and add or subtract whatever you want to them to get the first part

  21. Grazes
    • 3 years ago
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    Shift all the points one column to the right if you're feeling lazy

  22. Grazes
    • 3 years ago
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    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

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

  24. Grazes
    • 3 years ago
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    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

  25. DarlingDare
    • 3 years ago
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    XD

  26. Grazes
    • 3 years ago
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    raj. How are you holding up?

  27. DarlingDare
    • 3 years ago
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    Raj? You there?

  28. rajfk35
    • 3 years ago
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    yes i am

  29. Grazes
    • 3 years ago
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    Are you done? Or do you still need me?

  30. rajfk35
    • 3 years ago
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    no i still need you

  31. Grazes
    • 3 years ago
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    What's up?

  32. rajfk35
    • 3 years ago
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    part two

  33. DarlingDare
    • 3 years ago
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    Can't you do a proportion for the second part to see that they are similar?

  34. Grazes
    • 3 years ago
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    Well, yeah. But that's just for checking it. You would be guessing and checking to get the coordinates

  35. Grazes
    • 3 years ago
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    okay. Raj. Give me the coordinates for point A I'm too lazy to find it

  36. DarlingDare
    • 3 years ago
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    hmm... good to know... then I have been doing that part wrong for a long time.....

  37. Grazes
    • 3 years ago
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    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?

  38. Grazes
    • 3 years ago
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    So then you plug x and y in to get (2[-7],2[3]) or (-14,6)

  39. Grazes
    • 3 years ago
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    Which means that A11 is (-14,6). Understand?

  40. DarlingDare
    • 3 years ago
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    Raj?

  41. DarlingDare
    • 3 years ago
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    Well, I understood, but I don't know if Raj did...

  42. Grazes
    • 3 years ago
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    Darlin. what are you taking for math next year?

  43. DarlingDare
    • 3 years ago
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    Algebra 2

  44. DarlingDare
    • 3 years ago
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    I am finishing up geometry this week

  45. DarlingDare
    • 3 years ago
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    Right now, I'm on geometric proofs. I don't like it at all...

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

  47. DarlingDare
    • 3 years ago
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    Yes, I want to skip a grade in the math department..... and sure!!!!!

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