anonymous
  • anonymous
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
Mathematics
jamiebookeater
  • jamiebookeater
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Mertsj
  • Mertsj
Do you know how to find the midpoint?
anonymous
  • anonymous
yah can yu tell me if the ans is right though i got (-1,2) for the midpoint of EF
Mertsj
  • Mertsj
that is correct! Good job!

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anonymous
  • anonymous
and the midpoint of EG is (2,3)
anonymous
  • anonymous
im not sure wht to do for b and c
Mertsj
  • Mertsj
To show that the two are parallel, show that they have the same slopes.
anonymous
  • anonymous
uhm i got 1/3
anonymous
  • anonymous
:/
Mertsj
  • Mertsj
For each one?
anonymous
  • anonymous
yup
anonymous
  • anonymous
i got the same slop now how abt c)
Mertsj
  • Mertsj
To show that c is true, find the length of each segment and show that one is twice the other. Use the distance formula.
anonymous
  • anonymous
so wait.. the length of JK and FG?
Mertsj
  • Mertsj
Yes. Because the problem says to show that JK is half of FG.
anonymous
  • anonymous
i got 10 as the length for jk can yu try it and tell me if its right
Mertsj
  • Mertsj
Hang on.
Mertsj
  • Mertsj
I believe you forgot to take the square root. I got sqrt10
anonymous
  • anonymous
oh which is 3.16
Mertsj
  • Mertsj
I would just leave it sqrt10 and then find FG. I bet it will turn out to be 2sqrt10
anonymous
  • anonymous
i actually got 40 :/
Mertsj
  • Mertsj
Did you remember to take the square root?
anonymous
  • anonymous
6.32
anonymous
  • anonymous
oh thanks :P
Mertsj
  • Mertsj
\[\sqrt{40}=\sqrt{4(10)}=2\sqrt{10}\]
Mertsj
  • Mertsj
yw

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