bubblenuget1 bubblenuget1
  • 08-05-2020
  • Mathematics
contestada

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??

Respuesta :

chudung1976
chudung1976 chudung1976
  • 10-05-2020

Answer:

Step-by-step explanation:

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

+ We can find M like:

[tex]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\\[/tex]

So, we can find D like:

[tex]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\\[/tex]

The answer is D(2,6)

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