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? quadrilateral pqrs is not a rectangle because it has only one right angle. quadrilateral pqrs is not a rectangle because it has only two right angles. quadrilateral pqrs is a rectangle because it has four right angles. quadrilateral pqrs is not a rectangle because it has no right angles.

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

Option A is correct.

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

Explanation:

Given:

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

Slope for two points and is given by:

.

The slope of PQ is  

The slope of QR is

The slope of RS is

The slope of SP is

The slopes of perpendicular lines are opposite reciprocals.

∴ only one pair of sides has slopes that are negative reciprocals;

this means the figure  has only 1 right angle, so it is not a rectangle.

Therefore, quadrilateral PQRS is not a rectangle because it has only one right angle.

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step-by-step explanation: