Question

If (3,5) is the midpoint of the line segment ST and the coordinates of S are (2,7), find the coordinates of T.

Answer 1

Step-by-step explanation:

use mid point theorem....

Hope u will understand..

Answer 2

Answer:

The coordinates for point T, (x2,y2), are (4,3)

Step-by-step explanation:

Let the co-ordinates of the point T be (x2,y2)

The midpoint of a line segment is found by :

xm = (x1 + x2)/2        ym = (y1 + y2)/2

Given,

Mid Point M(3,5) and S(2,7)

So, putting , xm = 3, ym = 5, x1 = 2, y1 = 7, we get:

3 = (2 + x2)/2   |  5 = (7 + y2)/2

=>6 = 2 + x2     | =>10 = 7 + yt2

=>6 - 2 = x2      | =>10 - 7 = y2

=>4 = x2            | =>3 = yt2

Therefore, the coordinates for point T, (x2,y2), are (4,3)

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