How do you find the coordinates of the other endpoint of a segment with the given endpoint T(-8,-1) and midpoint M(0,3)?
1 Answer
Jun 15, 2017
Reflect the endpoint around the midpoint.
Explanation:
To do this algebraically, you consider how to get to the midpoint from the endpoint, and then do that move again to get to the other endpoint.
In the x direction, to get from T to M, you need to go
8 in the positive direction.In the y direction, to get from T to M, you need to go
4 in the positive direction.
Therefore, to get to our other endpoint (let's call it E), we need to make these same moves again.
Move
8 in the positive x direction from M:
0 + 8 = 8 Move
4 in the positive y direction from M:
3 + 4 = 7
So the other endpoint is
)
