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anonymous

  • 4 years ago

E (0,5), F ( -2,-1), and G ( 4,1) are vertices of a triangle. a) find the coordinates of the midpoint of EF (call it J) and EG (call it K) b) show that JK is parallel to FG c) show that JK is half the length of FG

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  1. Mertsj
    • 4 years ago
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    Do you know how to find the midpoint?

  2. anonymous
    • 4 years ago
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    yah can yu tell me if the ans is right though i got (-1,2) for the midpoint of EF

  3. Mertsj
    • 4 years ago
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    that is correct! Good job!

  4. anonymous
    • 4 years ago
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    and the midpoint of EG is (2,3)

  5. anonymous
    • 4 years ago
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    im not sure wht to do for b and c

  6. Mertsj
    • 4 years ago
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    To show that the two are parallel, show that they have the same slopes.

  7. anonymous
    • 4 years ago
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    uhm i got 1/3

  8. anonymous
    • 4 years ago
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    :/

  9. Mertsj
    • 4 years ago
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    For each one?

  10. anonymous
    • 4 years ago
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    yup

  11. anonymous
    • 4 years ago
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    i got the same slop now how abt c)

  12. Mertsj
    • 4 years ago
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    To show that c is true, find the length of each segment and show that one is twice the other. Use the distance formula.

  13. anonymous
    • 4 years ago
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    so wait.. the length of JK and FG?

  14. Mertsj
    • 4 years ago
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    Yes. Because the problem says to show that JK is half of FG.

  15. anonymous
    • 4 years ago
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    i got 10 as the length for jk can yu try it and tell me if its right

  16. Mertsj
    • 4 years ago
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    Hang on.

  17. Mertsj
    • 4 years ago
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    I believe you forgot to take the square root. I got sqrt10

  18. anonymous
    • 4 years ago
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    oh which is 3.16

  19. Mertsj
    • 4 years ago
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    I would just leave it sqrt10 and then find FG. I bet it will turn out to be 2sqrt10

  20. anonymous
    • 4 years ago
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    i actually got 40 :/

  21. Mertsj
    • 4 years ago
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    Did you remember to take the square root?

  22. anonymous
    • 4 years ago
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    6.32

  23. anonymous
    • 4 years ago
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    oh thanks :P

  24. Mertsj
    • 4 years ago
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    \[\sqrt{40}=\sqrt{4(10)}=2\sqrt{10}\]

  25. Mertsj
    • 4 years ago
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    yw

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