Answer:
[tex](x_4,y_4) = (1.5,-2\frac{1}{2})[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (-3,3)[/tex]
[tex](x_2,y_2) = (1.5,3)[/tex]
[tex](x_3,y_3)=(-3,-2\frac{1}{2})[/tex]
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:
[tex]x_1 = x_3 = -3[/tex]
and
[tex]y_1 = y_2 = 3[/tex]
To calculate the fourth point, we simply make use of:
[tex]x_2 = x_4[/tex] and [tex]y_3 = y_4[/tex]
Substitute 1.5 for x2 in [tex]x_2 = x_4[/tex]
[tex]1.5= x_4[/tex]
[tex]x_4=1.5[/tex]
Substitute -2 1/2 for y3 in [tex]y_3= y_4[/tex]
[tex]-2\frac{1}{2}= y_4[/tex]
[tex]y_4 = -2\frac{1}{2}[/tex]
Hence, the 4th point is:
[tex](x_4,y_4) = (1.5,-2\frac{1}{2})[/tex]
