Directions: Find the Coordinates of the midpoint of the segment given its endpoints. 6. A(5, 8) and B(-1, -4) 7. M(-5, 9) and N(-2, 7) 8. P(-3, -7) and Q(3, -5) 9.F(2, -6) and G(-8, 5)

Respuesta :

Answer:

6. Midpoint coordinates = (2,2)

7. Midpoint coordinates = (-7/2,8)

8. Midpoint coordinates = (0,-6)

9. Midpoint coordinates = (-3,-1/2)

Step-by-step explanation:

Coordinates of the midpoint of a segment is given as:

[tex](\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})[/tex]

Question 6:

[tex](\frac{5-1}{2}, \frac{8-4}{2})=(\frac{4}{2}, \frac{4}{2})\\ \\= (2,2)[/tex]

Question 7:

[tex](\frac{-5-2}{2}, \frac{9+7}{2})=(\frac{-7}{2},\frac{16}{2})\\ \\= (\frac{-7}{2},8)[/tex]

Question 8:

[tex](\frac{-3+3}{2}, \frac{-7-5}{2})=(\frac{0}{2},\frac{-12}{2})\\ \\= (0,-6)[/tex]

Question 9:

[tex](\frac{2-8}{2}, \frac{-6+5}{2})=(\frac{-6}{2},\frac{-1}{2})\\ \\= (-3,-\frac{1}{2})[/tex]