Question Bank Geometry #7

by WJ Thu Jul 24, 2008 3:17 am

Hello, I am having a hard time agreeing with answer in Question Bank Geometry #7.

Geometry #7 --
Is quadrilateral ABCD a rhombus?
(1) Line segments AC and BD are perpendicular bisectors of each other.
(2) AB = BC = CD = AD
The correct answer is D.

I think the answer should be E, because the quadrilateral ABCD can be a rhombus or a square. So we can not conclude that it is rhombus. Can someone please explain?

Thank you!

by **rfernandez** Sat Jul 26, 2008 5:27 am

Because every square is a rhombus, the data provided in each statement alone is sufficient to declare the quadrilateral a rhombus.