Question

if 9,8 is a endpoint of a segment and 4,12 is the midpoint, find the other endpoint

Answer 1

-1,16

Answer 2

how?

Answer 3

if we know a distance and direction to go this would be eaiser;

finish - start = distance and direction

we start at a point and end at the mid

Answer 4

\[(x _{2}-x _{1})/2=4=>9-x _{1}=8=>x _{1}=1\]

Do the same for y.

Answer 5

m-e = distance and direction from end to mid

m+(m-e) = the rest of the way

Answer 6

m = 4,12

2m = 8,24

e = 9,8
-e = -9, -8

2m = 8, 24
-e = -9, -8
-----------
e = -1,16

Answer 7

Let the coordinates of the first endpoint (x1,y1) and the coordinates of the other be (x2,y2).
Then ther coordinates of the midpoint is (x1+x2/2,y1+y2/2)

Answer 8

Nw if we take the coordinates of the other endpoint as (x,y)
9+x/2=4
9+x=8
x=-1
8+y/2=12
8+y=24
y=16

Answer 9

Is that clear nw?

Answer 10

madskills?

Answer 11

awsome, thanks alot!!

Answer 12

yw