Question

Korri plotted three vertices of a rectangle on a coordinate plain at (-3,3) (1.5,3), (-3, -21/2.) Wha t is the 4rth point of the rectangle?

Answer 1

`(x_4,y_4) = (1.5,-2(1)/(2))`

Explanation:

Given

`(x_1,y_1) = (-3,3)`

`(x_2,y_2) = (1.5,3)`

`(x_3,y_3)=(-3,-2(1)/(2))`

Required

Determine the coordinate of the 4th point

From the given parameters, we can see that the rectangle is either horizontal or vertical.

This is because:

`x_1 = x_3 = -3`

and

`y_1 = y_2 = 3`

To calculate the fourth point, we simply make use of:

`x_2 = x_4` and
`y_3 = y_4`

Substitute 1.5 for x2 in
`x_2 = x_4`

`1.5= x_4`

`x_4=1.5`

Substitute -2 1/2 for y3 in
`y_3= y_4`

`-2(1)/(2)= y_4`

`y_4 = -2(1)/(2)`

Hence, the 4th point is:

`(x_4,y_4) = (1.5,-2(1)/(2))`