Could someone check my answer to the following question?
Find the other end point given the endpoint of (7,7) and midpoint of (0,0).
the other endpoint would be (-7,-7)right?
To check if (-7, -7) is the correct answer, we need to verify if it is the other endpoint given the endpoint of (7,7) and the midpoint of (0,0).
To find the other endpoint, we can use the midpoint formula:
Midpoint formula:
The midpoint formula states that the coordinates of the midpoint between two endpoints (x1, y1) and (x2, y2) can be found by taking the average of the corresponding x-coordinates and the average of the corresponding y-coordinates.
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Given the endpoint of (7, 7) and the midpoint of (0, 0), we can use the midpoint formula to find the other endpoint:
Midpoint = ((x1 + 7) / 2, (y1 + 7) / 2)
(0, 0) = (x1 + 7) / 2, (y1 + 7) / 2
Now, let's solve for x1 and y1:
For x-coordinate:
(x1 + 7) / 2 = 0
x1 + 7 = 0 * 2
x1 + 7 = 0
x1 = -7
For y-coordinate:
(y1 + 7) / 2 = 0
y1 + 7 = 0 * 2
y1 + 7 = 0
y1 = -7
Therefore, the other endpoint, based on the given information, is (-7, -7).
So, your answer of (-7, -7) is correct!