To find the coordinates of endpoint V, we can use the midpoint formula.
The midpoint formula states that the coordinates of the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) can be found by taking the average of the x-coordinates and the average of the y-coordinates.
Let's use this formula to find the coordinates of endpoint V.
The x-coordinate of the midpoint is given as 5, and we know that the x-coordinate of U is 3. So, the average of these two values will give us the x-coordinate of V:
(x1 + x2) / 2 = (3 + x2) / 2 = 5
Multiplying both sides by 2, we get:
3 + x2 = 10
Then, we subtract 3 from both sides:
x2 = 7
So, the x-coordinate of endpoint V is 7.
Similarly, the y-coordinate of the midpoint is given as -11, and we know that the y-coordinate of U is 5. So, the average of these two values will give us the y-coordinate of V:
(y1 + y2) / 2 = (5 + y2) / 2 = -11
Multiplying both sides by 2, we get:
5 + y2 = -22
Then, we subtract 5 from both sides:
y2 = -27
So, the y-coordinate of endpoint V is -27.
Therefore, the coordinates of endpoint V are (7, -27).
Enter your answer and show all the steps that you use to solve this problem in the space provided.
The midpoint of UV¯¯¯¯¯
is (5,−11)
. The coordinates of one endpoint are U(3,5)
. Find the coordinates of endpoint V.
1 answer