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The coordinates of point T are (0,3). The midpoint or ST is (1,4). Find the coordinates of point S.

The other endpoint is _

(type an ordered pair)

1 Answer

3 votes

Answer:


S = (2,5)

Explanation:

Given


T = (0,3)


Midpoint (M) =(1,4)

Required

Determine the other end point (S)

Midpoint is calculated as thus:


M(x,y) = ((S_x + T_x)/(2),(S_y + T_y)/(2))

This gives:


(1,4) = ((S_x + 0)/(2),(S_y + 3)/(2))


(1,4) = ((S_x)/(2),(S_y + 3)/(2))

Multiply through by 2


2 * (1,4) = ((S_x)/(2),(S_y + 3)/(2)) * 2


(2,8) = (S_x,S_y + 3)

By comparison:


S_x = 2


S_y + 3 = 8


S_y = 8 - 3


S_y = 5

Hence:

The coordinates of S is


S = (2,5)

User SathOkh
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