Final answer:
To find the coordinates for endpoint C, use the midpoint formula by taking the average of the x-coordinates and y-coordinates of points A and B. The coordinates for endpoint C are (5.5, 7).
Step-by-step explanation:
To find the coordinates for endpoint C, we need to use the midpoint formula. This formula states that the coordinates of the midpoint of a line segment are the average of the coordinates of its endpoints. So, if A is the midpoint of CB, we can find the x-coordinate of C by taking the average of the x-coordinates of A and B, and we can find the y-coordinate of C by taking the average of the y-coordinates of A and B.
Let's plug in the values:
x-coordinate of C = (x-coordinate of A + x-coordinate of B) / 2 = (3 + 8) / 2 = 11 / 2 = 5.5
y-coordinate of C = (y-coordinate of A + y-coordinate of B) / 2 = (5 + 9) / 2 = 14 / 2 = 7
Therefore, the coordinates for endpoint C are (5.5, 7).