Answer:
A. [tex]K(x,y) = (-4,-3)[/tex]
Step-by-step explanation:
On a cartesian plane, rectangle whose each pair of parallel side are parallel to respective axis is a quadrilateral must observe the following conditions:
[tex]I(x,y) = (a, b)[/tex], [tex]J(x,y) = (a, c)[/tex], [tex]L(x,y) = (d, b)[/tex], [tex]K(x,y) = (d, c)[/tex]
If we know that [tex]a = 5[/tex], [tex]b = 3[/tex], [tex]c = -3[/tex], [tex]d = -4[/tex], then the coordinates of the vertex K of the rectangle IJKL is:
[tex]K(x,y) = (-4,-3)[/tex]
Hence, the correct answer is A.