A Quadrilateral

Question

Quadrilateral PQRS has vertices P(3, 2), Q(0, 4), R(-2, 1) and S(1, -1) 
a) Verify that quadrilateral PQRS is a square.
b) Find the perimeter of the rectangle.

Answer 1

Verify two opposite sides are parallel - they must have the same slope.

Verify that one angle is a right angle - adjacent sides are perpendicular - slopes of negative reciprocals.

Use distance formal to determine length of one side.