Question

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)

Answer 1

Answer:A. -4 -3

Explanation:

Answer 2

A.
`K(x,y) = (-4,-3)`

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:

`I(x,y) = (a, b)`,
`J(x,y) = (a, c)`,
`L(x,y) = (d, b)`,
`K(x,y) = (d, c)`

If we know that
`a = 5`,
`b = 3`,
`c = -3`,
`d = -4`, then the coordinates of the vertex K of the rectangle IJKL is:

`K(x,y) = (-4,-3)`

Hence, the correct answer is A.