Question:
A student wants to arrange four points to form a rectangle on a grid. She has already placed points at (-4. 4). (-4, 8). and (4, 8). Where should she place the last point?
Answer:
[tex]D = (4,4)[/tex]
Step-by-step explanation:
Let the rectangle be ABCD
[tex]A = (-4,4)[/tex]
[tex]B= (-4,8)[/tex]
[tex]C = (4,8)[/tex]
Required
Determine the location of the last point
A rectangle has the following coordinates
[tex]A = (x_1,y_1)[/tex]
[tex]B = (x_1,y_2)[/tex]
[tex]C = (x_2,y_2)[/tex]
[tex]D = (x_2,y_1)[/tex]
From the given coordinates:
[tex]x_1 = -4[/tex] --- see x coordinates of A and B
[tex]x_2 = 4[/tex] --- see x coordinates of C
[tex]y_1 =4[/tex] --- see y coordinates of C
[tex]y_2 =8[/tex] --- see y coordinates of B and C
So:
[tex]D = (x_2,y_1)[/tex]
[tex]x_2 = 4[/tex]
[tex]y_1 =4[/tex]
The coordinates of the last point (D) is:
[tex]D = (4,4)[/tex]
