Find the other endpoint of a line segment with the given midpoint and one endpoint. Endpoint:(0,0); Midpoint:(2,-8).
My answer is:(4,-16).
Is this correct?
Thanks.
The answer is correct, well-done!
Given the midpoint (8,14) and one endpoint (-9, -1), find the other endpoint
(-9,-1), (8,14), (x,y).
8-(-9) = x-8.
X = 25.
14-(-1) = y-14
Y = 29.
To find the other endpoint of a line segment given the midpoint and one endpoint, you can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint of a line segment are the average of the coordinates of the two endpoints.
In this case, you have the endpoint (0,0) and the midpoint (2,-8). To find the other endpoint, you need to determine the difference between the midpoint and the given endpoint, and then add this difference to the midpoint.
The difference between the given endpoint (0,0) and the midpoint (2,-8) is obtained by subtracting the coordinates of the endpoint from the coordinates of the midpoint:
Difference in x-coordinate: 2 - 0 = 2
Difference in y-coordinate: -8 - 0 = -8
Now, add this difference to the coordinates of the midpoint (2, -8):
x-coordinate of the other endpoint: 2 + 2 = 4
y-coordinate of the other endpoint: -8 + (-8) = -16
Therefore, the other endpoint of the line segment is (4, -16).
Your answer of (4,-16) is correct!