Question

point j has coordinates (10, 8). the midpoint of the segment JK is (6, 12)
what are the coordinates of k

Answer 1

Given that the midpoint of segment JK is (6, 12) and the coordinates of point J are (10, 8), we can use the midpoint formula to find the coordinates of point K.

Let the coordinates of point K be (x, y).

Using the midpoint formula:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
(6, 12) = ((10 + x)/2, (8 + y)/2)

Solving for x and y:

6 = (10 + x)/2
12 = (8 + y)/2

12 = 8 + y
y = 12 - 8
y = 4

6 = (10 + x)/2
12 = (8 + 4)/2
12 = 12

Therefore, the coordinates of point K are (2, 4).