Find the midpoint of the segment whose endpoints are (0,1) and (-2,3).
a.)(1,4)
b.)(-1,2)
c.)(4,1)
I think it's (-1,2)
That is correct.
(avg.x, avg.y) is the midpoint.
"avg." denotes "average"
Thanks:)
To find the midpoint of a segment, you need to take the average of the x-coordinates and the average of the y-coordinates of the endpoints.
The x-coordinate of the midpoint can be found by averaging the x-coordinates of the endpoints. In this case, the x-coordinates are 0 and -2. So, the average is:
(x₁ + x₂) / 2 = (0 + -2) / 2 = -2 / 2 = -1
The y-coordinate of the midpoint can be found by averaging the y-coordinates of the endpoints. In this case, the y-coordinates are 1 and 3. So, the average is:
(y₁ + y₂) / 2 = (1 + 3) / 2 = 4 / 2 = 2
Therefore, the midpoint of the segment is (-1, 2).
So, you are correct. The midpoint is (-1, 2), which corresponds to option b in the given choices.