The endpoints of a line segment are at the coordinates (4, -2, 5) and (6, 4, -3). What is the midpoint of the segment?
(-2, -6, 8)
(10, 2, 2)
(5, 1, 1)
(-1, -3, 4)
My choice- C
To find the midpoint of a line segment, you need to find the average of the coordinates of the endpoints. Here's how you can do that in this case:
1. Identify the coordinates of the two endpoints:
Endpoint 1: (4, -2, 5)
Endpoint 2: (6, 4, -3)
2. Find the average of the x-coordinates:
(4 + 6) / 2 = 10 / 2 = 5
3. Find the average of the y-coordinates:
(-2 + 4) / 2 = 2 / 2 = 1
4. Find the average of the z-coordinates:
(5 + -3) / 2 = 2 / 2 = 1
5. Combine the averages to get the midpoint:
Midpoint: (5, 1, 1)
Therefore, the midpoint of the line segment with endpoints (4, -2, 5) and (6, 4, -3) is (5, 1, 1). So the correct answer is (5, 1, 1).