Question

Point J has coordinates 10 comma 8. The midpoint of the line segment J K is 6 comma 12.

What are the coordinates of point K ?

Answer options with 4 options
A.
the point 2 comma 16

B.
the point 4 comma 4

C.
the point 8 comma 10

D.
the point 14 comma 4

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the coordinates of point K, we first need to calculate the coordinates of the midpoint of the line segment JK.

The midpoint formula is given by ((x1 + x2)/2, (y1 + y2)/2), where (x1, y1) are the coordinates of point J and (x2, y2) are the coordinates of point K.

Given that the midpoint is (6, 12) and point J is (10, 8), we can plug these values into the midpoint formula to find the coordinates of point K:

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

(10 + x)/2 = 6
10 + x = 2(6)
10 + x = 12
x = 12 - 10
x = 2

(8 + y)/2 = 12
8 + y = 2(12)
8 + y = 24
y = 24 - 8
y = 16

Therefore, the coordinates of point K are 2, 16, which corresponds to option A.
Therefore, the answer is A. the point 2, 16.