Question

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

Answer 1

Do you know how to find the midpoint?

Answer 2

yah
can yu tell me if the ans is right though
i got (-1,2) for the midpoint of EF

Answer 3

that is correct! Good job!

Answer 4

and the midpoint of EG is (2,3)

Answer 5

im not sure wht to do for b and c

Answer 6

To show that the two are parallel, show that they have the same slopes.

Answer 7

uhm i got 1/3

Answer 8

:/

Answer 9

For each one?

Answer 10

yup

Answer 11

i got the same slop
now how abt c)

Answer 12

To show that c is true, find the length of each segment and show that one is twice the other.
Use the distance formula.

Answer 13

so wait..
the length of JK and FG?

Answer 14

Yes. Because the problem says to show that JK is half of FG.

Answer 15

i got 10 as the length for jk
can yu try it and tell me if its right

Answer 16

Hang on.

Answer 17

I believe you forgot to take the square root. I got sqrt10

Answer 18

oh
which is 3.16

Answer 19

I would just leave it sqrt10 and then find FG. I bet it will turn out to be 2sqrt10

Answer 20

i actually got 40 :/

Answer 21

Did you remember to take the square root?

Answer 22

6.32

Answer 23

oh thanks :P

Answer 24

\[\sqrt{40}=\sqrt{4(10)}=2\sqrt{10}\]

Answer 25

yw