Question

Which information is sufficient to show that a parallelogram is a rectangle?

A . The diagonals bisect each other .
B . The diagonals are congruent .
C . The diagonals are congruent and perpendicular .
D . The diagonals bisect each other and are perpendicular .

Answer 1

The answer is B.

B . The diagonals are congruent.

A. The diagonals of any rhombus bisect each other, but that does not prove it is a rectangle.

B. The quadrilateral is a parallelogram, and the diagonals are congruent. It must be a rectangle.

C. The diagonals are congruent and perpendicular in any rhombus, but that does not make it a rectangle.

D. This proves a rhombus, but not necessarily a rectangle.