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
