Question

The coordinates of three of the vertices of rectangle ABCD are A(2,1), B(5,1),and C(5,6). What are the coordinates of point D??

Answer 1

Answer:

Step-by-step explanation:

+ The 2 diagonals AC et BD have their midpoint M.

+ We can find M like:

$x_{M}=\frac{x_{A}+x_{C} }{2} = \frac{2+5}{2} =7/2\\\\ y_{M}=\frac{y_{A}+y_{C} }{2} = \frac{1+6}{2} =7/2$

So, we can find D like:

$x_{D =2x_{M} -x_{B} = 2*(7/2) - 5 = 7 - 5= 2\\\y_{D} = 2y_{M} -y_{B} = 2*(7/2) - 1 = 7 - 1= 6$

The answer is D(2,6)