Question

1. is this figure defined by points e, f, g, and h a rectangle? justify your answer.

no, efgh is not a rectangle. based on the coordinates, opposite sides are congruent but not parallel.
yes, efgh is a rectangle. base on the coordinates, opposite sides are neither parallel nor congruent.
no, efgh is not a rectangle. based on the coordinates, opposite sides are parallel but not congruent.
yes, efgh is a rectangle. base on the coordinates, opposite sides are both parallel and congruent.

Explanation:

Step1: Recall the properties of a rectangle

A rectangle is a quadrilateral with opposite sides parallel and congruent.

Step2: Analyze the given figure

From the figure, we can observe that the sides \(EF\) and \(GH\) are parallel and congruent, and the sides \(FG\) and \(EH\) are parallel and congruent.

Answer:

Yes, \(EFGH\) is a rectangle. Based on the coordinates, opposite sides are both parallel and congruent.