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HourglassMage

  • one year ago

2. A parallelogram has the vertices (-1, 2), (4, 4), (2, -1) and (-3, -3). Determine what type of parallelogram [10 points]. Find the perimeter and area [20 points].

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  1. HourglassMage
    • one year ago
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  2. HourglassMage
    • one year ago
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    That's what I got...but clearly it's not a parallelogram, so what am I doing wrong, and what do I need to do differently?

  3. HourglassMage
    • one year ago
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    @ganeshie8, please help!

  4. ganeshie8
    • one year ago
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    http://prntscr.com/3eu6hv

  5. ganeshie8
    • one year ago
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    ^^thats how it should look. graphing is a very good idea, but u dont need to graph to solve this problem.

  6. HourglassMage
    • one year ago
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    Ohhh...duh. Apparently I'm going to be stupid today, brilliant. Thnx for the help! :)

  7. ganeshie8
    • one year ago
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    u figured how to work the problem ?

  8. HourglassMage
    • one year ago
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    BTW, someone told me the answer to this problem was 12. Are they right? I got 4.2... √((3) – (0))² + ((0) – (3))² = √3² + -3² = √9 + 9 = √18 ≈ 4.2

  9. HourglassMage
    • one year ago
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    yes, I did

  10. ganeshie8
    • one year ago
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    show me ur complete work

  11. HourglassMage
    • one year ago
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    For the first problem?

  12. ganeshie8
    • one year ago
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    for both

  13. HourglassMage
    • one year ago
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    Ah...ok

  14. ganeshie8
    • one year ago
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    what ever u have so far...

  15. HourglassMage
    • one year ago
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    just a mo, then

  16. HourglassMage
    • one year ago
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  17. HourglassMage
    • one year ago
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    working on the second question now

  18. ganeshie8
    • one year ago
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    Are you given instructions that u need to work it by graphing ?

  19. HourglassMage
    • one year ago
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    Yeah, they taught graphing and the distance formula and whatnot

  20. ganeshie8
    • one year ago
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    no, i mean did the instructions specifically ask u to do this by graphing ?

  21. ganeshie8
    • one year ago
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    cuz, u should NOT use graphing unless the instructions say so

  22. ganeshie8
    • one year ago
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    the common/regular way to work this problem is by finding lengths of sides using `distance formula` and the slopes of sides using `slope formula`

  23. HourglassMage
    • one year ago
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    Those were the directions they gave me

  24. ganeshie8
    • one year ago
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    cool :) then you're right ! they want u work it by graphing

  25. HourglassMage
    • one year ago
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    Given that they gave me the graph, I would assume that they want me to solve it by graphing, but I also used the distance formula to find the lengths of the sides

  26. HourglassMage
    • one year ago
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    ok :)

  27. ganeshie8
    • one year ago
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    good :) your length of sides, and perimeter are correct. but Area is wrong.

  28. ganeshie8
    • one year ago
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    squaring sides will not give u Area for a rhombus.

  29. HourglassMage
    • one year ago
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    ohh..just looked it up A - diagonal x diagonal/2

  30. ganeshie8
    • one year ago
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    Area of rhombus = \(\frac{1}{2} d_1 d_2\)

  31. ganeshie8
    • one year ago
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    yes^

  32. HourglassMage
    • one year ago
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    Great, now I have to find the diagonals, lol

  33. ganeshie8
    • one year ago
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    its easy from graph

  34. ganeshie8
    • one year ago
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    horizontal diagonal = 3--3 = 6 vertical diagonal = 3--3 = 6

  35. ganeshie8
    • one year ago
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    So, Area = \(\frac{1}{2} d_1 d_2 = \frac{1}{2} 6*6 = 18\)

  36. ganeshie8
    • one year ago
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    And that makes the given rhombus a SQUARE !

  37. ganeshie8
    • one year ago
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    so the given parallelogram is not just a rhombus, its also a SQUARE !

  38. ganeshie8
    • one year ago
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    for the `type of parallelogram `, you should say that its a `square`

  39. ganeshie8
    • one year ago
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    if that makes any sense..

  40. HourglassMage
    • one year ago
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    The parallelogram is a rhombus and a square?

  41. ganeshie8
    • one year ago
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    just say its a SQUARE !

  42. HourglassMage
    • one year ago
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    rhomus: all equal sides, two pairs of equal angles square: equal sides, equal angles

  43. HourglassMage
    • one year ago
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    oh, ok

  44. HourglassMage
    • one year ago
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    Does that change my equation for the area, then?

  45. ganeshie8
    • one year ago
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    all squares are parallelograms all squares are rhombuses all squares are rectangles all squares are quadrilaterals

  46. ganeshie8
    • one year ago
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    a square is many things

  47. ganeshie8
    • one year ago
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    yes it will change ur formula, but the answer will be same

  48. HourglassMage
    • one year ago
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    I see that, lol

  49. ganeshie8
    • one year ago
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    let me modify it and give u

  50. HourglassMage
    • one year ago
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    it will be?

  51. HourglassMage
    • one year ago
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    ok

  52. ganeshie8
    • one year ago
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    here is the corrected stuff for question 1 : http://prntscr.com/3euc4h

  53. HourglassMage
    • one year ago
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  54. HourglassMage
    • one year ago
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    how do you find the diagonals inside a rhombus?

  55. ganeshie8
    • one year ago
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    use the distance formula

  56. HourglassMage
    • one year ago
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    oh, its the same process, ok, hold on

  57. ganeshie8
    • one year ago
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    ok, i presume u knw what a diagonal is :)

  58. ganeshie8
    • one year ago
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    it just connects the opposite vertices

  59. ganeshie8
    • one year ago
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    |dw:1398867292759:dw|

  60. ganeshie8
    • one year ago
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    |dw:1398867314860:dw|

  61. ganeshie8
    • one year ago
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    ^^those two line segments joining opposite vertices are diagonals

  62. HourglassMage
    • one year ago
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  63. HourglassMage
    • one year ago
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    Is that correct? I found it odd that I got the same area for #1 and #2...but maybe that's just a coincidence

  64. ganeshie8
    • one year ago
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    diagonals are not equal in rhombus

  65. ganeshie8
    • one year ago
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    so u need to calculate the 2nd diagonal also using distance formula

  66. ganeshie8
    • one year ago
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    and then use the area of rhombus formula : Area = \(\frac{1}{2}d_1 d_2\)

  67. HourglassMage
    • one year ago
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  68. HourglassMage
    • one year ago
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    @ganeshie8

  69. ganeshie8
    • one year ago
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    looks good !

  70. HourglassMage
    • one year ago
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    thnx! :D

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