Question

The coordinates of the endpoints of GH are G(3,7) and H(15,13). Point I is on GH and divides it such that GI:HI is 1:1. Are the coordinates of I?

a) (7,10)
b) (9,11)
c) (11,12)
d) (13,13)

Answer 1

The coordinates of point I on the line segment GH are (9,10).

Step-by-step explanation:

To find the coordinates of point I on the line segment GH, we can use the midpoint formula. The midpoint of a line segment is the average of the x-coordinates and the average of the y-coordinates of the endpoints. So, the x-coordinate of the midpoint is (3+15)/2 = 18/2 = 9, and the y-coordinate of the midpoint is (7+13)/2 = 20/2 = 10. Therefore, the coordinates of point I are (9,10).