I(5, 3), J(5, -3), and L(-4, 3) are three vertices of rectangle IJKL. What are the coordinates of the fourth vertex, K, of rectangle IJKL? A. (-4, -3) B. (5, 3) C. (5, -3) D. (-4, 3)

Respuesta :

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.

Ver imagen xero099

Answer:A. -4 -3

Step-by-step explanation: