Question

9. Plot the points A (-2,3), B(2,-3), C(2,3) ,D(-2,3) join the points and find the distance between each point.

Answer 1

AB=7.21 unit

BC=6 unit

CD=7.21 unit

AD= 6 unit

AC=4 unit

BD=4 unit

Explanation:

Coordinates of A =(-2,3)

Coordinates of B = (2,-3)

Coordinates of C = (2,3)

Coordinates of D =(-2,-3)

Distance formula :
`d = √((x_2-x_1)^2+(y_2-y_1)^2)`

`A=(x_1,y_1)=(-2,3)\\B=(x_2,y_2)=(2,-3)\\AB = √((2+2)^2+(-3-3)^2)`

AB=7.21 unit

`B=(x_1,y_1)=(2,-3)\\C=(x_2,y_2)=(2,3)\\BC=√((2-2)^2+(3+3)^2)`

BC=6

`C=(x_1,y_1)=(2,3)\\D=(x_2,y_2)=(-2,-3)\\CD=√((-2-2)^2+(-3-3)^2)`

CD=7.21

`A=(x_1,y_1)=(-2,3)\\D=(x_2,y_2)=(-2,-3)\\AD=√((-2+2)^2+(-3-3)^2)`

AD=6

`A=(x_1,y_1)=(-2,3)\\C=(x_2,y_2)=(2,3)`

`AC=√((2+2)^2+(3-3)^2)`

AC=4

`B=(x_1,y_1)=(2,-3)\\D=(x_2,y_2)=(-2,-3)`

BD=
`√((-2-2)^2+(-3+3)^2)`

BD=4