Rectangle ABCD as vertices A(9, 3), B(9, 6), and C(2, 6). What are the coordinates of point D?

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Answer 1 · 2017-01-21T06:30:36

#D(2;3)#

Let's calculate the middle point of the diagonal AC: it will be te middle point of the diagonal BD.

#M=((x_A+x_C)/2;(y_A+y_C)/2)=((9+2)/2;(3+6)/2)=(11/2;9/2)#

and

#M=((x_B+x_D)/2;(y_B+y_D)/2)=((9+x_D)/2;(6+y_D)/2)#

then

#(9+x_D)/2=11/2; x_D=2#

and

#(6+y_D)/2=9/2; y_D=3#

#D(2;3)#