Question

If the midpoint of a segment is (-2,0) and one endpoint is (3,5) what is the other endpoint?

Answer 1

-7 and -5

Answer 2

so to go from (-2,0) to (3,5), you need to move 5 units to the right and 5 units up. We need to do the same thing to get the other endpoint- moving up 5, right 5 from (3,5) gives us (8,10).

Answer 3

GT, Can you explain how you got that?

Answer 4

You went 5 to the left of (3,5) to get to the midpoint so go 5 more to the left to get to the other end. Five to the left of -2 is -7. Also you went down 5 to get from the endpoint to the midpoint so go down 5 more to get to the other end. Five down from 0 is -5 so the other endpoint must be (-7,-5)

Answer 5

MertsJ - your answer is not right.

Midpoint of two points (x1, y1) and (x2, y2) is (x1+x2)/2, (y1+y2)/2.
So, here you are given one endpoint and the midpoint.

(x1+3)/2 = -2
(y1+5)/2 = 0

Solve for x1 and y1.

Answer 6

Sorry. Your answer is right MertsJ!

Answer 7

It's the same as yours. GT 0 Good Answer
-7 and -5

Answer 8

That clears up a lot for me. I have another question like this. I going to try it 1st and I'll post my answer. Can you tell me if it's right?

Answer 9

Yes. Medal for me? :)

Answer 10

You got it.

Answer 11

Q:If the midpoint of a segment is (-2, 4) and one endpoint is (1, 2), find the other endpoint.
A: I got (-5,6)

Answer 12

Correct!

Answer 13

Awesome. You've been a great help.

Answer 14

You have been an awesome learner!

Answer 15

Thanks. Appreciate that.