Question

A (8, 10) b (-5, -4) c (-2.5, -2) d (8.5, 9.5)

Answer 1

Midpoint formula : (x1 + x2) / 2, (y1 + y2) / 2
(-6,-6)...x1 = -6 and y1 = -6
(x,y)...x2 = x and y2 = y
now we sub
(-6 + x) / 2 , (-6 + y) / 2

doing the x term first...
(-6 + x) / 2 = 1...I set it equal to 1 because that is the x in the midpoint
-6 + x = 1 * 2
-6 + x = 2
x = 2 + 6
x = 8

doing the y term
(-6 + y) / 2 = 2...I set this equal to 2 because that is the y in the midpoint
-6 + y = 2 * 2
-6 + y = 4
y = 4 + 6
y = 10

the coordinates of N are : (8,10) <==

Answer 2

The answer to this one is definitely A. This is because M (1, 2) is the midpoint between A and N. A is 7 units left and 8 units down of M. To find N, you must add 7 units to the right and 8 units up. That will give you (8, 10). The answer is A: (8, 10).