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 not a rectangle because it has only one right angle.

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 a rectangle because it has four right angles.

Answer 1

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

Explanation:

Answer 2

It's c. 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.