Question

the vertices of quadrilateral pqrs are listed. p(3,7), q(6,-2), r(0,-4), s(-3,5) which of the following is the strongest classification that identifies quadrilateral pqrs? a. quadrilateral pqrs is a rectangle. b. quadrilateral pqrs is a trapezoid. c. quadrilateral pqrs is a square. d. quadrilateral pqrs is a parallelogram.

Explanation:

Step1: Recall definitions

A square is a special - case of a rectangle, a rectangle is a special - case of a parallelogram, and a trapezoid has different properties from the others. A square has all sides equal and all angles equal to 90 degrees. A rectangle has opposite sides equal and all angles 90 degrees. A parallelogram has opposite sides parallel. A trapezoid has one pair of parallel sides.

Step2: Analyze hierarchy of quadrilaterals

The most specific (strongest) classification among parallelogram, rectangle, trapezoid, and square is the square as it has the most restrictive set of properties.

Answer:

B. Quadrilateral PQRS is a square.