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anonymous

  • 4 years ago

ABCD is a square where A is the point (0,2) and C is the point (8,4). AC and BD are diagonals of the square and they intersect at E. Find the coordinates of B and D.

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  1. anonymous
    • 4 years ago
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    I have found out the coordinate of E which is(4,3) and the equation of Bd and length of AE

  2. amistre64
    • 4 years ago
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    slope is 1/4?

  3. amistre64
    • 4 years ago
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    so perp slope is -4

  4. anonymous
    • 4 years ago
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    the ans for the coordinate of B is(5,-1) & D is (3,7)

  5. anonymous
    • 4 years ago
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    but i do not know how to derive at it

  6. amistre64
    • 4 years ago
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    the slope form a to c aint 1 so its not a square that situated nicely like that is it?

  7. amistre64
    • 4 years ago
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    slope from a to c is: 2/8 = 1/4

  8. anonymous
    • 4 years ago
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    ABCD is a square in the question

  9. amistre64
    • 4 years ago
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    e is a+c/2 for midpoint 8,4 0,2 ---- 8,6 /2 = 4,3 e is good

  10. amistre64
    • 4 years ago
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    y=-4x+4(4)+3 y=-4x+19 is the equation of the line perp to ac and thru 4,3

  11. amistre64
    • 4 years ago
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    hmmm, so. ; this laptop doesnt make this easier lol

  12. amistre64
    • 4 years ago
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    we need a vector that is the length of ae

  13. anonymous
    • 4 years ago
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    its \[\sqrt{17}\] length of ae

  14. amistre64
    • 4 years ago
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    8,4 -4,3 ---- <4,1>; mag = sqrt(17) that ougt to be fun to play with

  15. anonymous
    • 4 years ago
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    i cant find a way to find the coordinate through the length of ae LOL

  16. amistre64
    • 4 years ago
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    so the vector representation of say eb is our -4/1 slope

  17. amistre64
    • 4 years ago
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    <1,-4> is out vector ... duh lol

  18. amistre64
    • 4 years ago
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    form e move 1,-4 and -1,4 to get to the other corners

  19. anonymous
    • 4 years ago
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    i was tinking of finding the coordinate through the x-axis difference and y-axis difference but it doesnt seem to work

  20. amistre64
    • 4 years ago
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    4,3 1,-4 ----- 5,-1 4,3 -1,4 ----- 3,7

  21. anonymous
    • 4 years ago
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    i get it thx:) alot

  22. amistre64
    • 4 years ago
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    took a bit my my brain clicked lol

  23. Hero
    • 4 years ago
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    So what were the correct points? For some reason, I'm getting (3,7) and (5,-1), but the question is which one is B and which one is D

  24. anonymous
    • 4 years ago
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    Hi im very sorry could you explain what is a vector?

  25. amistre64
    • 4 years ago
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    |dw:1327672189805:dw|

  26. amistre64
    • 4 years ago
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    a vector can be represented as a directed line segment; something like an arrow with distance and direction defines a vector

  27. anonymous
    • 4 years ago
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    how did u arrive at a vector of (-1,4)

  28. amistre64
    • 4 years ago
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    |dw:1327672246456:dw|

  29. amistre64
    • 4 years ago
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    the slope of a line IS its vector i took the slope of the line from A to C

  30. amistre64
    • 4 years ago
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    not drawn correctly in this pic, but same concept nonetheless

  31. anonymous
    • 4 years ago
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    gradient AC= 1/4 thus the vector is (-1,4 ) and gradient AB= 4 vector is (-4,1)?

  32. amistre64
    • 4 years ago
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    the slope of the line from A to C is: C (8,4) -A (0,2) -------- 8, 2 ; slope = 2/8; 1/4 the vector from A to C is then <4 , 1>

  33. amistre64
    • 4 years ago
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    a vector is notated the same as a point, except for the < > parts that indicate it as a vector. it is 4 wide and 1 tall; the components of its gradient (slope)

  34. anonymous
    • 4 years ago
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    How did u get C (8,4) -A (0,2) -------- 8, 2

  35. amistre64
    • 4 years ago
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    its called subtraction

  36. amistre64
    • 4 years ago
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    8-0 , 4-2 these are the parts of the slope formula

  37. amistre64
    • 4 years ago
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    its just easier for me to do them in this way then to try and sort out what goes where when its already done

  38. amistre64
    • 4 years ago
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    but to be clear about the vector from A to C, I was a little off in my explaining. The vector from A to C is actually <8,2>; half of this is going to be to the midpoint of E, since a midpoint is in the middle <8,2> ------ = <4,1>, is our vector from A to E 2

  39. anonymous
    • 4 years ago
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    i see thank you i will try to understand & do the question first, if I still do not understand could I still look for you? thx::)

  40. amistre64
    • 4 years ago
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    i might be around; it might be better to repost a new question, or even this one again so that others have a better chance to see it up on the left and give their views as well :)

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