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anonymous

  • one year ago

how do u show that ABCD is a parallelogram

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    @mathmath333

  3. anonymous
    • one year ago
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    @Vocaloid

  4. mathmath333
    • one year ago
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    find the length of AD and BC first

  5. anonymous
    • one year ago
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    @phi

  6. anonymous
    • one year ago
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    how im i supposed to do that @mathmath333

  7. mathmath333
    • one year ago
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    |dw:1440709546470:dw| use pythagorus for AD

  8. anonymous
    • one year ago
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    ok

  9. phi
    • one year ago
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    there are 2 ways: show opposite sides have the same length (use the "distance formula") or show opposite sides have the same slope finding the slope is probably less work. to do either way, you first need the (x,y) coords of each corner.

  10. phi
    • one year ago
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    Here are the 4 points A (0,4) B (5,6) C (6,2) D (1,0) now show the slopes of AB and CD are the same can you do that ? (remember slope is change in y divided by change in x)

  11. anonymous
    • one year ago
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    im i suppose to divide 0,4 @phi

  12. anonymous
    • one year ago
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    nevermind

  13. phi
    • one year ago
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    do you remember how to find the slope between (0,4) and (5,6) ?

  14. anonymous
    • one year ago
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    i have to subtract 4 and 6

  15. anonymous
    • one year ago
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    then subtract 0 and 5 and divided???

  16. anonymous
    • one year ago
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    is the slope 2/5 @phi

  17. phi
    • one year ago
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    yes. the side AB has slope 2/5 the opposite side is CD find the slope between points C and D

  18. anonymous
    • one year ago
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    5/2

  19. phi
    • one year ago
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    you should get 2/5 . remember it is change in y divided by change in x (6,2) (1,0)

  20. anonymous
    • one year ago
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    ooo ok

  21. anonymous
    • one year ago
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    do i do the same for number 74

  22. phi
    • one year ago
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    you are not done yet. you also have to show the sides AD and BC have the same slope (opposite sides have the same slope) so far you showed sides AB and CD have the same slope. now do AD and BC

  23. anonymous
    • one year ago
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    slope for AD is 1/4

  24. phi
    • one year ago
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    close but not 1/4 . also notice it should be negative (the line slopes down)

  25. anonymous
    • one year ago
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    1/-4

  26. phi
    • one year ago
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    show your work

  27. phi
    • one year ago
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    what is change in y? what is change in x ?

  28. anonymous
    • one year ago
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    -1/4

  29. anonymous
    • one year ago
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    0,4 1,0 0 minus 1 is -1 4 minus 0 is 4

  30. phi
    • one year ago
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    ok, and which is change in y

  31. phi
    • one year ago
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    remember the points are (x,y) pairs in other words, 4 - 0 is the change in y the slope will be (4-0)/(0-1) = 4 / -1 = -4

  32. phi
    • one year ago
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    finally show line BD has slope -4

  33. phi
    • one year ago
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    for Q74, show line LM has slope m and line MN has slope -1/m (flipped and negated)

  34. anonymous
    • one year ago
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    thx

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