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anonymous

  • one year ago

Geometry Problem. Medal & Fan to whoever can help.

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  1. anonymous
    • one year ago
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    Triangle ABC has been rotated 90° to create triangle DEF. Using the image below, prove that perpendicular lines have opposite and reciprocal slopes. You must show all of your work to receive credit.

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  2. anonymous
    • one year ago
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    find the slope of both lines

  3. anonymous
    • one year ago
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    If the slope of the first line is 5 then the perpendicular line will be the negative reciprocal which is -1/5

  4. anonymous
    • one year ago
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    Find the slope for line BC first

  5. anonymous
    • one year ago
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    Do you know how to do that?

  6. anonymous
    • one year ago
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    May you remind me how it is done @10115658 . It is getting late where I am currently and my brain is sort of dead. I'm trying to take notes for an exam at the moment so just trying to see how it is solved and write it down.

  7. anonymous
    • one year ago
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    Pick 2 points on the line

  8. anonymous
    • one year ago
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    C and B?

  9. anonymous
    • one year ago
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    Or you mean within the line?

  10. anonymous
    • one year ago
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    within the line, i'll pick the first one (1,1)

  11. anonymous
    • one year ago
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    I suppose we can do (2,2) as well?

  12. anonymous
    • one year ago
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    i don't think that's a point on the line

  13. anonymous
    • one year ago
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    what are the coordinates for point B

  14. anonymous
    • one year ago
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    oh wait you confused me.

  15. anonymous
    • one year ago
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    (4,5)

  16. anonymous
    • one year ago
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    Thats right

  17. anonymous
    • one year ago
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    now we use the slope formula, rise/run

  18. anonymous
    • one year ago
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    |dw:1432956614754:dw|

  19. anonymous
    • one year ago
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    1 would be the slope?

  20. anonymous
    • one year ago
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    wait, i think i did that wrong too.

  21. anonymous
    • one year ago
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    4/3(?)

  22. anonymous
    • one year ago
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    4/3 is correct

  23. anonymous
    • one year ago
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    what would be the negative reciprocal of that?

  24. anonymous
    • one year ago
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    I apologize, I have not had much time to rest so I see myself making a lot of mistakes.

  25. anonymous
    • one year ago
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    -0.08(?)

  26. anonymous
    • one year ago
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    you don't have to apologize, happens all the time

  27. anonymous
    • one year ago
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    uhhh

  28. anonymous
    • one year ago
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    ok, what is the reciprocal of 4/3?

  29. anonymous
    • one year ago
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    i'm getting -0.0833333333 according to google for negative reciprocal.

  30. anonymous
    • one year ago
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    and then the reciprocal would be 0.08. unless of course there's a formula i'm not remembering.

  31. anonymous
    • one year ago
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    you don't need a calculator for this

  32. anonymous
    • one year ago
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    Remind me how we determine it then if you would? Haha

  33. anonymous
    • one year ago
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    |dw:1432956822160:dw|

  34. anonymous
    • one year ago
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    .. -facepalm- 3/4 .75

  35. anonymous
    • one year ago
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    now make it negative

  36. anonymous
    • one year ago
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    so would it be the same case for negative reciprocal? -3/4 -.75?

  37. anonymous
    • one year ago
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    ok, so now we find the slope of the other line. If the slope is -3/4 then we know the lines are perpendicular

  38. anonymous
    • one year ago
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    so we are looking at EF now?

  39. anonymous
    • one year ago
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    yes. So do the same thing we did before

  40. anonymous
    • one year ago
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    First find 2 points

  41. anonymous
    • one year ago
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    f is -1,1, e is -5, 4. just from that, i already know they are indeed perpendicular.

  42. anonymous
    • one year ago
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    yep (4-1)/(-5-(-1)) = -3/4

  43. anonymous
    • one year ago
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    Is it that simple to answer the question? Oh my lord, I feel dumb.

  44. anonymous
    • one year ago
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    once you understand it its simple, same with all math i guess

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