Question

The midpoint M and one endpoint of overline GH are given. Find the coordinates of the other endpoint. a. G(5,-6) and M(4,3) b. H(-3,7) and M(-2,5) c. H(-2,9) and M(8,0) d. G(-4,1) and M(- 13/2 ,-6)

Answer 1

To find the coordinates of the other endpoint, we can use the midpoint formula.

Step-by-step explanation:

To find the coordinates of the other endpoint, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint M between two endpoints G(x1, y1) and H(x2, y2) is given by:

M = ((x1 + x2)/2, (y1 + y2)/2)

Using this formula, we can determine the coordinates of the other endpoint for each given set of points and midpoint:

(a) G(5,-6) and M(4,3): The other endpoint is H(-3,12)

(b) H(-3,7) and M(-2,5): The other endpoint is G(-1,3)

(c) H(-2,9) and M(8,0): The other endpoint is G(18,-9)

(d) G(-4,1) and M(- 13/2,-6): The other endpoint is H(-9, -13)