Question

The coordinates of point T are (0,2). The midpoint of ST is (4. - 4). Find the coordinates of point S.

Answer 1

S(8, -10)

Explanation:

If point M is midpoint of ST then:

`x_S-x_M=x_M- x_T\qquad\quad\ \wedge\qquad y_S-y_M=y_M - y_T\\\\S(x_S,\,y_S)\,,\quad T(0,\,2)\,,\quad M(4,\,-4)\,,\ \ so:\\\\x_S-4=4- 0\qquad\quad\ \wedge\qquad y_S-(-4)=-4-2\\\\x_S=4+4\qquad\quad\ \wedge\qquad\ y_S=-6-4\\\\{}\quad x_S=8\qquad\quad\ \wedge\qquad\ y_S=-10`