Question

The coordinates of the vertices of quadrilateral DEFG are D(−3, −1) , E(−6, 3) , F(3, 12) , and G(7, 9) .

Which statement correctly describes whether quadrilateral DEFG is a rectangle?

Quadrilateral DEFG is not a rectangle because it has only one right angle.

Quadrilateral DEFG is a rectangle because it has four right angles.

Quadrilateral DEFG is not a rectangle because it has only two right angles.

Quadrilateral DEFG is not a rectangle because it has no right angles.

Answer 1

Your answer is D.
Because there are no negative reciprocals, therefore there are no right angles.

Answer 2

Quadrilateral DEFG is not a rectangle because it has no right angles.

Explanation:

Plotting the coordinate points, we have a quadrilateral but not a rectangle. Looking at the points and the angles formed, we see that there do not have any right angle. In addition to this, whenever we have a rectangle we have common coordinates, like the second picture.