contestada

A line segment has a midpoint of (7, 1/2 )
If one endpoint is (3,2), what is the other endpoint?

Respuesta :

Answer:

(11, -1)

Step-by-step explanation:

We get the midpoint by "averaging" the x-coordinates and y-coordinates.

One endpoint is (3,2) and let the other end point be (x,y). Thus, we can say:

  • average of 3 and x is 7 [x coordinate of midpoint], and
  • average of 2 and y is 1/2 [y coordinate of midpoint]

Let's do the math:

[tex]\frac{3+x}{2}=7\\3+x=7*2\\3+x=14\\x=14-3\\x=11[/tex]

And

[tex]\frac{2+y}{2}=\frac{1}{2}\\2(2+y)=2\\4+2y=2\\2y=2-4\\2y=-2\\y=\frac{-2}{2}\\y=-1[/tex]

The other endpoint coordinates is thus:

(11, -1)