Question

The coordinates of the vertices of quadrilateral PQRS are P(−4, 2) , Q(3, 4) , R(5, 0) , and S(−3, −2) .

Which statement correctly describes whether quadrilateral PQRS is a rectangle?

A. Quadrilateral PQRS is a rectangle because it has four right angles.

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

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

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

Answer 1

@563blackghost

Answer 2

The answer is actually B. PQRS is not rectangle because is has only 2 right angles.
One ∠PRQ and the other one is ∠SPR.
In order to be rectangle all 4 angles needs to be right angles

Answer 3

@dude
@563blackghost u agree ?

Answer 4

I agree but a visual would help.

If you plot the points jason you can see that `(5,0)` makes the shape have only 2 angles that are right.

https://www.desmos.com/calculator/xbbup2e0jy