Question

The midpoint of segment ST is M(5,2). One endpoint is S(-1, -7). Find the coordinates of the other endpoint.

Answer 1

The other endpoit has this cordinadetes (11, 11).

Explanation:

Midpoint (MD) (Xm, Ym)

Xm = 5

Ym = 2

Xm of the Midpoint: Xm = X1 + X2/ 2

Ym of the Midpoint: Ym = Y1 + Y2/2

We can say that S is (x1, y1), so x1 = -1 and y1 = -7

Then:

Xm = -1 + x2/2

5= -1 + x2/2

10 = -1 + x2

x2 = 11

Also:

Ym = -7 + y2/2

2 = -7 + y2/2

4 = -7 + y2

11 = y2