# 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 positivexdirectionfrom M:

#0 + 8 = 8# Move

#4# in the positiveydirectionfrom M:

#3 + 4 = 7#

So the other endpoint is