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HourglassMage Group Title

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].

  • 6 months ago
  • 6 months ago

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  1. HourglassMage Group Title
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    • 6 months ago
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  2. HourglassMage Group Title
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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?

    • 6 months ago
  3. HourglassMage Group Title
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    @ganeshie8, please help!

    • 6 months ago
  4. ganeshie8 Group Title
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    http://prntscr.com/3eu6hv

    • 6 months ago
  5. ganeshie8 Group Title
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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 months ago
  6. HourglassMage Group Title
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    Ohhh...duh. Apparently I'm going to be stupid today, brilliant. Thnx for the help! :)

    • 6 months ago
  7. ganeshie8 Group Title
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    u figured how to work the problem ?

    • 6 months ago
  8. HourglassMage Group Title
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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

    • 6 months ago
  9. HourglassMage Group Title
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    yes, I did

    • 6 months ago
  10. ganeshie8 Group Title
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    show me ur complete work

    • 6 months ago
  11. HourglassMage Group Title
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    For the first problem?

    • 6 months ago
  12. ganeshie8 Group Title
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    for both

    • 6 months ago
  13. HourglassMage Group Title
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    Ah...ok

    • 6 months ago
  14. ganeshie8 Group Title
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    what ever u have so far...

    • 6 months ago
  15. HourglassMage Group Title
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    just a mo, then

    • 6 months ago
  16. HourglassMage Group Title
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    • 6 months ago
  17. HourglassMage Group Title
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    working on the second question now

    • 6 months ago
  18. ganeshie8 Group Title
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    Are you given instructions that u need to work it by graphing ?

    • 6 months ago
  19. HourglassMage Group Title
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    Yeah, they taught graphing and the distance formula and whatnot

    • 6 months ago
  20. ganeshie8 Group Title
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    no, i mean did the instructions specifically ask u to do this by graphing ?

    • 6 months ago
  21. ganeshie8 Group Title
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    cuz, u should NOT use graphing unless the instructions say so

    • 6 months ago
  22. ganeshie8 Group Title
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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`

    • 6 months ago
  23. HourglassMage Group Title
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    Those were the directions they gave me

    • 6 months ago
  24. ganeshie8 Group Title
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    cool :) then you're right ! they want u work it by graphing

    • 6 months ago
  25. HourglassMage Group Title
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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

    • 6 months ago
  26. HourglassMage Group Title
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    ok :)

    • 6 months ago
  27. ganeshie8 Group Title
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    good :) your length of sides, and perimeter are correct. but Area is wrong.

    • 6 months ago
  28. ganeshie8 Group Title
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    squaring sides will not give u Area for a rhombus.

    • 6 months ago
  29. HourglassMage Group Title
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    ohh..just looked it up A - diagonal x diagonal/2

    • 6 months ago
  30. ganeshie8 Group Title
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    Area of rhombus = \(\frac{1}{2} d_1 d_2\)

    • 6 months ago
  31. ganeshie8 Group Title
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    yes^

    • 6 months ago
  32. HourglassMage Group Title
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    Great, now I have to find the diagonals, lol

    • 6 months ago
  33. ganeshie8 Group Title
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    its easy from graph

    • 6 months ago
  34. ganeshie8 Group Title
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    horizontal diagonal = 3--3 = 6 vertical diagonal = 3--3 = 6

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

    • 6 months ago
  36. ganeshie8 Group Title
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    And that makes the given rhombus a SQUARE !

    • 6 months ago
  37. ganeshie8 Group Title
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    so the given parallelogram is not just a rhombus, its also a SQUARE !

    • 6 months ago
  38. ganeshie8 Group Title
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    for the `type of parallelogram `, you should say that its a `square`

    • 6 months ago
  39. ganeshie8 Group Title
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    if that makes any sense..

    • 6 months ago
  40. HourglassMage Group Title
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    The parallelogram is a rhombus and a square?

    • 6 months ago
  41. ganeshie8 Group Title
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    just say its a SQUARE !

    • 6 months ago
  42. HourglassMage Group Title
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    rhomus: all equal sides, two pairs of equal angles square: equal sides, equal angles

    • 6 months ago
  43. HourglassMage Group Title
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    oh, ok

    • 6 months ago
  44. HourglassMage Group Title
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    Does that change my equation for the area, then?

    • 6 months ago
  45. ganeshie8 Group Title
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    all squares are parallelograms all squares are rhombuses all squares are rectangles all squares are quadrilaterals

    • 6 months ago
  46. ganeshie8 Group Title
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    a square is many things

    • 6 months ago
  47. ganeshie8 Group Title
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    yes it will change ur formula, but the answer will be same

    • 6 months ago
  48. HourglassMage Group Title
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    I see that, lol

    • 6 months ago
  49. ganeshie8 Group Title
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    let me modify it and give u

    • 6 months ago
  50. HourglassMage Group Title
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    it will be?

    • 6 months ago
  51. HourglassMage Group Title
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    ok

    • 6 months ago
  52. ganeshie8 Group Title
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    here is the corrected stuff for question 1 : http://prntscr.com/3euc4h

    • 6 months ago
  53. HourglassMage Group Title
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    • 6 months ago
  54. HourglassMage Group Title
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    how do you find the diagonals inside a rhombus?

    • 6 months ago
  55. ganeshie8 Group Title
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    use the distance formula

    • 6 months ago
  56. HourglassMage Group Title
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    oh, its the same process, ok, hold on

    • 6 months ago
  57. ganeshie8 Group Title
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    ok, i presume u knw what a diagonal is :)

    • 6 months ago
  58. ganeshie8 Group Title
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    it just connects the opposite vertices

    • 6 months ago
  59. ganeshie8 Group Title
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    |dw:1398867292759:dw|

    • 6 months ago
  60. ganeshie8 Group Title
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    |dw:1398867314860:dw|

    • 6 months ago
  61. ganeshie8 Group Title
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    ^^those two line segments joining opposite vertices are diagonals

    • 6 months ago
  62. HourglassMage Group Title
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    • 6 months ago
  63. HourglassMage Group Title
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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

    • 6 months ago
  64. ganeshie8 Group Title
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    diagonals are not equal in rhombus

    • 6 months ago
  65. ganeshie8 Group Title
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    so u need to calculate the 2nd diagonal also using distance formula

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

    • 6 months ago
  67. HourglassMage Group Title
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    • 6 months ago
  68. HourglassMage Group Title
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    @ganeshie8

    • 6 months ago
  69. ganeshie8 Group Title
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    looks good !

    • 6 months ago
  70. HourglassMage Group Title
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    thnx! :D

    • 6 months ago
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