The midpoint of UV is (4,3). The coordinates of one endpoint are U (11,-2). Find the coordinates of the other endpoint, V
To find the coordinates of the other endpoint V, we need to use the midpoint formula.
The midpoint formula states that the coordinates of the midpoint of a line segment, given the coordinates of the endpoints (x1, y1) and (x2, y2), are:
(midpoint_x, midpoint_y) = ((x1 + x2) / 2, (y1 + y2) / 2)
We can plug in the known values into the formula:
midpoint_x = 4
midpoint_y = 3
x1 = 11
y1 = -2
Using the formula, we have:
4 = (11 + x2) / 2
8 = 11 + x2
x2 = 8 - 11
x2 = -3
3 = (-2 + y2) / 2
6 = -2 + y2
y2 = 6 + 2
y2 = 8
Therefore, the coordinates of the other endpoint V are V (-3, 8).
To find the coordinates of the other endpoint, V, we can use the midpoint formula. The midpoint formula states that the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
In this case, we are given that the midpoint is (4, 3) and one endpoint is U(11, -2). Let's call the coordinates of the other endpoint (x, y).
Using the midpoint formula, we can set up the following equations:
x = (11 + x)/2
4 = (y - 2)/2
Solving the first equation for x:
2x = 11 + x
x = 11
Substituting x = 11 into the second equation:
4 = (y - 2)/2
8 = y - 2
y = 10
Therefore, the coordinates of the other endpoint, V, are (11, 10).
To find the coordinates of the other endpoint V, we can use the midpoint formula.
The midpoint formula states that the coordinates of the midpoint of a line segment equals the average of the coordinates of its endpoints. Mathematically, the midpoint formula can be written as:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
Given that the midpoint of UV is (4, 3) and one endpoint is U(11, -2), let's assume that the coordinates of the other endpoint V are (x, y).
We can set up the following equation using the midpoint formula:
(4, 3) = ((11 + x)/2, (-2 + y)/2)
Now, let's solve for x and y:
(11 + x)/2 = 4 [By comparing the x-coordinate]
Simplifying the equation above, multiply both sides by 2:
11 + x = 8
Subtracting 11 from both sides:
x = 8 - 11 = -3
Now, let's solve for y:
(-2 + y)/2 = 3 [By comparing the y-coordinate]
Simplifying the equation above, multiply both sides by 2:
-2 + y = 6
Adding 2 to both sides:
y = 6 + 2 = 8
Therefore, the coordinates of the other endpoint V are (-3, 8).