Question

Find the coordinates of G if F(1,3.5) is the midpoint of bar (GJ) and J has coordinates (6,-2)

Answer 1

To find the coordinates of G, we can use the midpoint formula. The coordinates of G are (-4,9).

Step-by-step explanation:

To find the coordinates of point G, we can use the midpoint formula. The midpoint formula states that if the midpoint F is the average of the x-coordinates and y-coordinates of two points, then the coordinates of the midpoint F are the averages of the coordinates of the two points.

Let's use this formula to find the coordinates of G. We are given that the midpoint F is (1,3.5) and one endpoint J is (6,-2).

Using the midpoint formula, we can find that the coordinates of G are:

G = 2F - J

G = 2(1,3.5) - (6,-2)

G = (2,7) - (6,-2)

G = (2-6,7-(-2))

G = (-4,9)