Question

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

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

Explanation:

Step1: Recall rectangle properties

A rectangle has opposite sides parallel and congruent.

Step2: Analyze the figure

By looking at the grid - based figure, we can see that opposite sides are both parallel and congruent.

Answer:

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