Question

Find the coordinates of the midpoint of the segment whose endpoints are H(10, 1) and K(4, 7).

(12, 12)


(14, 8)


(7, 4)


(9, 2)

Answer 1

(7,4)

Explanation:

Answer 2

The formula of a midpoint of a segment AB:

`A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\M_(AB)\left((x_A+x_B)/(2);\ (y_A+y_B)/(2)\right)`

We have:

H(10; 1); K(4; 7)

substitute:

`M_(HK)\left((10+4)/(2);\ (1+7)/(2)\right)\to M_(HK)\left((14)/(2);\ (8)/(2)\right)\to M_(HK)(7;\ 4)`

Answer: (7, 4)