Find the coodrinates of the other endpoint of the segment given (-24,15) is the midpoint and one of the endpoint is (-18,10)
A(x,y), B(-24,15), C(-18,10).
-18-x = 2(-24-x)
-18-x = -48-2x
2x-x = -48+18
X = -30
10-y = 2(15-y)
10-y = 30-2y
2y-y = 30-10
Y = 20.
To find the coordinates of the other endpoint, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint of a line segment are equal to the average of the coordinates of its endpoints.
Let's denote the coordinates of the other endpoint as (x, y). We know that the midpoint is (-24, 15), and one endpoint is (-18, 10).
Using the midpoint formula, we can calculate the coordinates of the other endpoint as follows:
x-coordinate of the midpoint = (x-coordinate of endpoint 1 + x-coordinate of endpoint 2) / 2
-24 = (-18 + x) / 2
Solving for x:
-24 = -18 + x
-6 = x
Now, let's find the y-coordinate using the same formula:
y-coordinate of the midpoint = (y-coordinate of endpoint 1 + y-coordinate of endpoint 2) / 2
15 = (10 + y) / 2
Solving for y:
15 = 10 + y
5 = y
Therefore, the coordinates of the other endpoint are (-6, 5).
To find the coordinates of the other endpoint of the segment, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint of a segment are the average of the coordinates of the two endpoints.
Given:
Midpoint = (-24, 15)
Endpoint 1 = (-18, 10)
Let's denote the coordinates of the other endpoint as (x, y).
Using the midpoint formula, we can set up the following equations:
(x1 + x2)/2 = x
(-18 + x)/2 = -24
Solving the equation:
-18 + x = -48
Adding 18 to both sides:
x = -30
Now, let's find the y-coordinate:
(y1 + y2)/2 = y
(10 + y)/2 = 15
Solving the equation:
10 + y = 30
Subtracting 10 from both sides:
y = 20
Therefore, the coordinates of the other endpoint of the segment are (-30, 20).