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)

Question

asked Jan 19, 2018 108k views

2 Answers

Nikul · Answer 1 · 2018-01-24T10:01:10+0000

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)