Find the other endpoint of a line segment with the given midpoint and one endpoint
Endpoint: ( 6, -1); Midpoint: 15/2, 2
A. 9,5 B. 2,15/2 C. -3, -6 D. 15, 4
(x+6)/2=15/2
x + 6 = 15
x = 9
(y - 1)/2 = 2
y - 1 = 4
y = 5
so I get (9,5)
To find the other endpoint of a line segment, you can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint of a line segment are the average of the coordinates of the endpoints.
Let's name the coordinates of the other endpoint as (x, y).
Given:
Endpoint: (6, -1)
Midpoint: (15/2, 2)
Using the midpoint formula, we can set up the following equations:
x = (6 + x) / 2
y = (-1 + y) / 2
Let's solve these equations to find the value of (x, y).
For x:
2x = 6 + x
2x - x = 6
x = 6
For y:
2y = -1 + y
2y - y = -1
y = -1
Therefore, the other endpoint is (6, -1).
At this point, we can see that none of the answer choices match the calculated coordinates of the other endpoint. Hence, none of the options A, B, C, or D are correct.