Question

Given that ABCD is a parallelogram.If A(5,r) ,B(-2,3) and C(3,-1),find D?

Answer 1

It is `D(10,r-4)`

Explanation:

Since ABCD parallelogram we have that

`x_D-x_C=x_A-x_B=>x_D=x_C+x_A-x_B=3+5+2=10`

`y_D-y_C=y_A-y_B=>y_D=y_C+y_A-y_B=>y_D=-1+r-3=r-4`