Describe positions on the full coordinate grid 2 - Reasoning

In a geometry lesson focused on position and direction, Esin attempts to draw a parallelogram using a set of coordinates on a full coordinate grid. She selects the points (-4,-5), (-5,2), (4,0), and (0,-2) with the intention of creating the desired shape. However, upon review, it is determined that Esin's chosen coordinates do not form a parallelogram. A parallelogram requires that opposite sides are equal in length and parallel, which is not the case with the points she has used.

To correct her mistake and successfully draw a parallelogram, Esin should consider a new set of coordinates. An example of a correct set of coordinates that would form a parallelogram is (-4,-5), (2,-5), (4,0), and (-2,0). These points ensure that both pairs of opposite sides are parallel and equal in length, meeting the criteria for a parallelogram. By plotting these corrected coordinates on the grid, Esin would be able to draw the parallelogram accurately as intended.