Final answer:
To find the midpoint of a diameter, you can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint are the average of the coordinates of the two endpoints.
Step-by-step explanation:
To find the midpoint of a diameter, you can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint are the average of the coordinates of the two endpoints. In this case, the endpoints of the diameter are (4,4) and (5,6). To find the midpoint, you can add the x-coordinates and divide by 2 to find the x-coordinate of the midpoint, and then add the y-coordinates and divide by 2 to find the y-coordinate of the midpoint.
So, for the x-coordinate: (4 + 5) / 2 = 9 / 2 = 4.5
And for the y-coordinate: (4 + 6) / 2 = 10 / 2 = 5
Therefore, the midpoint of the diameter is (4.5, 5).