Question

Point K is the midpoint of segment JL. If the coordinates of point J are (5, 13), and the coordinates of point L are (7, 25), what are the coordinates of point K?

Answer 1

(6, 19)

Explanation:

If K is the midpoint of segment JL and the coordinates of point J are (5, 13), and the coordinates of point L are (7, 25), to get the coordinate of K, we will find the mid point of coordinate J and L using the midpoint formula;

M(X, Y) = (x₁+x₂/2, y₁+y₂/2)

From the coordinates, x₁ = 5, y₁ = 13, x₂ = 7 and y₂ = 25

M(X, Y) = (5+7/2, 13+25/2)

M(X, Y) = (12/2, 38/2)

M(X, Y) = (6, 19)

Hence the coordinates of point K is (6, 19)