Answer:
Step-by-step explanation:
A(x₁ ,y₁) & D(5 , -6)
Midpoint =[tex]\left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2} \right)[/tex]
[tex]R(9,-2)= \left(\dfrac{x_{1}+5}{2},\dfrac{y_{1}-6}{2} \right)[/tex]
Compare x and y coordinates of both sides
[tex]\dfrac{x_{1}+5}{2}=9[/tex] ; [tex]\dfrac{y_{1}-6}{2}=-2[/tex]
x₁ + 5 = 18 ; y₁ - 6 = -4
x₁ = 18 - 5 ; y₁ = -4 + 6
x₁ = 13 y₁ = 2
A(13 , 2)
