Respuesta :

Answer:

AB=7.21 unit

BC=6 unit

CD=7.21 unit

AD= 6 unit

AC=4 unit

BD=4 unit

Step-by-step explanation:

Coordinates of A =(-2,3)

Coordinates of B = (2,-3)

Coordinates of C = (2,3)

Coordinates of D =(-2,-3)

Distance formula :[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]A=(x_1,y_1)=(-2,3)\\B=(x_2,y_2)=(2,-3)\\AB = \sqrt{(2+2)^2+(-3-3)^2}[/tex]

AB=7.21 unit

[tex]B=(x_1,y_1)=(2,-3)\\C=(x_2,y_2)=(2,3)\\BC=\sqrt{(2-2)^2+(3+3)^2}[/tex]

BC=6

[tex]C=(x_1,y_1)=(2,3)\\D=(x_2,y_2)=(-2,-3)\\CD=\sqrt{(-2-2)^2+(-3-3)^2}[/tex]

CD=7.21

[tex]A=(x_1,y_1)=(-2,3)\\D=(x_2,y_2)=(-2,-3)\\AD=\sqrt{(-2+2)^2+(-3-3)^2}[/tex]

AD=6

[tex]A=(x_1,y_1)=(-2,3)\\C=(x_2,y_2)=(2,3)[/tex]

[tex]AC=\sqrt{(2+2)^2+(3-3)^2}[/tex]

AC=4

[tex]B=(x_1,y_1)=(2,-3)\\D=(x_2,y_2)=(-2,-3)[/tex]

BD=[tex]\sqrt{(-2-2)^2+(-3+3)^2}[/tex]

BD=4

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