Respuesta :

Answer:

 

Step-by-step explanation:

From the figure, it is given that:

The coordinates of P are: (-3,3)

The coordinates of Q are: (2,1)

and The coordinates of R are: (-4,-2)

Now, the mid point of the segment PR is:

[tex]D=(\frac{-3-4}{2},\frac{3-2}{2})[/tex]

[tex]D=(\frac{-7}{2},\frac{1}{2})[/tex]

Also, the mid point of the segment QR is:

[tex]E=(\frac{2-4}{2},\frac{1-2}{2})[/tex]

[tex]E=(\frac{-2}{2},\frac{-1}{2})[/tex]

[tex]E=(-1,\frac{-1}{2})[/tex]

Therefore, the coordinates of the end points of the segment parallel to PQ are:

[tex]D=(\frac{-7}{2},\frac{1}{2})[/tex] and [tex]E=(-1,\frac{-1}{2})[/tex].