Question

The coordinates of point T are (0,2). The midpoint of ST is (5,-3). Find the coordinates of point S.

The other endpoint is
(Type an ordered pair.)

Answer 1

Explanation:

the midpoint is exactly halfway in each coordinate direction.

so, whatever we have to add ti or subtract from the coordinates of T to get to the midpoint, we have to add to or subtract from the midpoint to get to S.

for x we get

0 + 5 = 5

so, we need to add another 5 to get the x coordinate of S.

that is then 5 + 5 = 10

for y we get

2 - 5 = -3

so, we need to subtract another 5 to get the y coordinate of S.

that is then

-3 - 5 = -8

S = (10, -8)