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

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

hero · Answer

a) J = (1, 0)
b) If two lines have the same slope, then they are parallel
c) Find the length of JK and the length of FG using either the distance formula or pythagorean theorem. If JK/2 = FG, then it is half the length.

anonymous · Answer

how did yu get j=(1,0)

hero · Answer

I used the midpoint formula: 

$$J= (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$$