Question

Find the coordinates of the midpoint of the segment whose endpoints are H(2, 1) and K(10, 7).

A) (6, 4)

B) (12, 8)

C) (4, 3)

D) (8, 6)

Answer 1

The formula for finding midpoint is
(X1+X2/2,Y1+Y2/2)
(2+10/2,1+7/2)
(12/2,8/2)
(6,4)
Thus the midpoint is (6,4)

Answer 2

For this case we have that the middle point formula is given by:

`M = (\frac {x2 + x1} {2}, \frac {y2 + y1} {2})`

We then have the following points:

`(x1, y1) = (2, 1)\\(x2, y2) = (10, 7)`

Therefore, replacing values we have:

`M = (\frac {10 + 2} {2}, \frac {7 + 1} {2})`

Rewriting:

`M = (\frac {12} {2}, \frac {8} {2})\\M = (6, 4)`

Answer:

The midpoint is given by:

A) (6, 4)