Answer:
To find the coordinates of the midpoint M, we can use the midpoint formula. The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the endpoints.
Given the endpoints B(16,8) and C(12,16), we can find the coordinates of the midpoint M as follows:
1. Find the average of the x-coordinates: (16 + 12) / 2 = 28 / 2 = 14.
2. Find the average of the y-coordinates: (8 + 16) / 2 = 24 / 2 = 12.
Therefore, the coordinates of the midpoint M are (14,12).
Explanation: