Question

The midpoint of UV is (5, -11). The coordinates of one endpoint are U(3,5). Find the coordinates of endpoint V.
Help please! I need this explained, my teacher keeps asking questions like this but I never really learned it. if you explain this one to me I can probably figure out the other ones! thanks <3

Answer 1

Let V be the point (x,y)

Answer 2

one endpoint is (3,5), the other is (x,y)

to find the x coordinate of the midpoint, you add up the x coordinates and divide by 2

so you do this

(x1 + x2)/2

(3+x)/2

then you set it equal to 5 since this is the x coordinate of the given midpoint (5,-11) like this

(3+x)/2 = 5

now solve for x

(3+x)/2 = 5

3+x = 5*2

3+x = 10

x = 10-3

x = 7

Answer 3

the y coordinate of point V is found in a similar way, just using the y coordinates

Answer 4

Alright, thank you a lot c: it really cleared it up for me. I'll try to figure out y for myself.

Answer 5

so I did for y, but I'm not sure if I did it right.
(5+y)/2=-11
(5+y)=-22
y= -27
is this right? I'm always confused when negatives are involved.
@jim_thompson5910