Question

name the missing ordered pair.
(image of coordinate plane with points (-4,3), (4,3), (4,-3), and point a)
options:
○ (-4,3)
○ (-3,-3)
○ (-3,-4)
○ (-4,-3)

Explanation:

Step1: Analyze the rectangle's properties

A rectangle has opposite sides equal and parallel, and its vertices should have consistent x - coordinates for vertical sides and y - coordinates for horizontal sides. The given vertices are \((-4,3)\), \((4,3)\), and \((4, - 3)\). For the fourth vertex (let's call it \(A\)), it should have the same x - coordinate as \((-4,3)\) (to form a vertical side) and the same y - coordinate as \((4, - 3)\) (to form a horizontal side).

Step2: Determine the missing ordered pair

The x - coordinate of the missing point should be \(-4\) (since one vertical side has x - coordinate \(-4\) from the point \((-4,3)\)) and the y - coordinate should be \(-3\) (since one horizontal side has y - coordinate \(-3\) from the point \((4, - 3)\)). So the missing ordered pair is \((-4, - 3)\).

Answer:

D. \((-4, -3)\)