Find the midpoint of the segment with the following endpoints.(10,9) and (1,5)
average the coordinates
[(10 + 1) / 2 , (9 + 5) / 2]
To find the midpoint of a segment with given endpoints, you can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points (x1, y1) and (x2, y2) are given by:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2).
Let's apply this formula to find the midpoint of the segment with the endpoints (10,9) and (1,5):
x1 = 10
y1 = 9
x2 = 1
y2 = 5
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
= ((10 + 1) / 2, (9 + 5) / 2)
= (11 / 2, 14 / 2)
= (5.5, 7)
Therefore, the midpoint of the segment with the endpoints (10,9) and (1,5) is (5.5, 7).