Question

An open area at a local high school is in the shape of a quadrilateral. two sidewalks crisscross this open area as diagonal of the quadrilateral. If the walkways cross at their midpoints and the walkways are equal in length, what is the shape of the open area?


a rectangle 
a rhombus
a parallelogram
a trapezoid

Answer 1

The quadrilateral must be a rectangle.

Based on the properties of quadrilaterals, if the diagonals are congruent and bisect each other, it is a rectangle.