The midpoint of UV is (5, -11). The coordinates of one endpoint are U(3, 5). Find the coordinates of endpoint V.
I know what the question is asking, but I'm not sure what steps to take to calculate the other endpoint based on the midpoint. Please help, I have limited time!
8 years ago
1 year ago
To find the coordinates of endpoint V based on the midpoint and the coordinates of endpoint U, you can use the formula for finding the midpoint between two points on a coordinate plane. The formula is:
Midpoint = [(x1 + x2) / 2, (y1 + y2) / 2]
Here, (x1, y1) represents the coordinates of endpoint U, and (x2, y2) represents the unknown coordinates of endpoint V. Given that the midpoint is (5, -11) and endpoint U is (3, 5), you can substitute these values into the formula:
(5, -11) = [(3 + x2) / 2, (5 + y2) / 2]
Now, you can solve for x2 and y2, the coordinates of endpoint V, by isolating these variables. Let's start with x2:
2(5) = 3 + x2
10 = 3 + x2
To find x2, subtract 3 from both sides of the equation:
10 - 3 = x2
7 = x2
Now, let's solve for y2:
2(-11) = 5 + y2
-22 = 5 + y2
To find y2, subtract 5 from both sides of the equation:
-22 - 5 = y2
-27 = y2
Thus, the coordinates of endpoint V are (7, -27).