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555-605 Level|   Geometry|      
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amanvermagmat
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Is ABCD a Rombus 1 ABCD is a Square 2. ABCD diagonals bisect 09 Jul 2018, 20:49
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vivapopo
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I believe the answer here is A.
What is rombus - it is quadrilateral with the following properties:
* Opposite angles of a rhombus have equal measure
* The two diagonals of a rhombus are perpendicular;
* Its diagonals bisect opposite angles (that is why we have first property)
In choice B we do not see all the properties, it could be a rombus but at the same time it could be an quadrilateral with different angles and opposite sides - not sufficient.

OA is D, not A.

There is a property which says if the diagonals of a quadrilateral are perpendicular bisectors of each other (so if the diagonal bisect each other at a right angle), the quadrilateral is a rhombus.
But it could be a square or a kite?
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Hello

If its a square, then its already a rhombus (every square is a rhombus).
It cannot be a kite from second statement, it has to be a rhombus. In a kite, the diagonals just intersect at 90 degrees, but in a rhombus, not only do diagonals intersect but they also bisect each other at 90 degrees.
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Is ABCD a Rombus 1 ABCD is a Square 2. ABCD diagonals bisect 23 Sep 2023, 07:43
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