Question

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)

Answer 1

6. Midpoint coordinates = (2,2)

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

8. Midpoint coordinates = (0,-6)

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

Explanation:

Coordinates of the midpoint of a segment is given as:

`((x_(1)+x_(2))/(2), (y_(1)+y_(2))/(2))`

Question 6:

`((5-1)/(2), (8-4)/(2))=((4)/(2), (4)/(2))\\ \\= (2,2)`

Question 7:

`((-5-2)/(2), (9+7)/(2))=((-7)/(2),(16)/(2))\\ \\= ((-7)/(2),8)`

Question 8:

`((-3+3)/(2), (-7-5)/(2))=((0)/(2),(-12)/(2))\\ \\= (0,-6)`

Question 9:

`((2-8)/(2), (-6+5)/(2))=((-6)/(2),(-1)/(2))\\ \\= (-3,-(1)/(2))`