15.8k views
3 votes
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.

2 Answers

2 votes
Your answer is D.
Because there are no negative reciprocals, therefore there are no right angles.
User Gerrod
by
7.2k points
3 votes

Answer:

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.

The coordinates of the vertices of quadrilateral DEFG are D(−3, −1) , E(−6, 3) , F-example-1
The coordinates of the vertices of quadrilateral DEFG are D(−3, −1) , E(−6, 3) , F-example-2
User Rahim Dastar
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories