math
posted by alicia .
the following statement always true, always false, or true in some cases and false in others? Explain your answer. A quadrilateral whose diagonals are congruent and perpendicular is a square.

True in some but not all cases.
Take two lines of equal length (which will be the diagonals)and have them intersect perpendicularly at a place other than the midpoint of both. Coonnect the ends ot the lines to form a quadrilateral. It will not be a square.