Question

Find the missing endpoint if S is the midpoint RT. 1. R(9-4) and S(2,-1); fine T

Answer 1

Answer:

The coordinates of point T are (13 , -6)

Step-by-step explanation:

* Lets explain how to solve the problem

- If point (x , y) is the mid point of a line whose end points are

 $(x_{1},y_{1})$ and $(x_{2},y_{2})$, then

 $x=\frac{x_{1}+x_{2}}{2}$ and $y=\frac{y_{1}+y_{2}}{2}$

* Lets solve the problem

∵ Point S is the mid point of segment RT

∴ S = (x , y)

∵ The coordinates of point S are (2 , -1)

∴ x = 2 and y = -1

∵ Point R = $(x_{1},y_{1})$

∵ The coordinates of point R are (-9 , 4)

∴ $x_{1}=-9$ and $y_{1}=4$

∵ Point T = $(x_{2},y_{2})$

- By using the rule of the mid-point above find the coordinates

 of point T

∴  $2=\frac{-9+x_{2}}{2}$

- multiply both sides by 2

∴ $4=-9+x_{2}$

- Add 9 to both sides

∴ $x_{2}=13$

∴  $-1=\frac{4+y_{2}}{2}$

- multiply both sides by 2

∴ $-2=4+y_{2}$

- Subtract 4 from both sides

∴ $y_{2}=-6$

∴ The coordinates of point T are (13 , -6)