The midpoint of segment G H is the point 1 comma negative 4. The coordinates of point G are 3 comma negative 5.
What are the coordinates of point H?
Answer options with 5 options
A.
the point negative 1 comma negative 6
B.
the point negative 1 comma negative 3
C.
the point 2 comma negative 9-halves
D.
the point 5 comma negative 6
E.
the point 5 comma negative 13
The midpoint of a line segment is the average of the coordinates of its endpoints. Therefore, we can use the midpoint formula to set up the following equation:
(3 + x)/2 = 1 and (-5 + y)/2 = -4
Solving for x and y gives:
x = -1 and y = -3
Therefore, the coordinates of point H are (-1, -3), and the answer is B.