A quadrilateral ABCD has opposite sides parallel. The diagonals are perpendicular.

Based on the given properties of the quadrilateral ABCD, which of these is a valid conclusion?

Quadrilateral ABCD must be a kite.

Quadrilateral ABCD must be a square or a kite.

Quadrilateral ABCD must be a square.

Quadrilateral ABCD must be a square or a rhombus.
is it d?
@ganeshie8

Question

A quadrilateral ABCD has opposite sides parallel. The diagonals are perpendicular. 
  
Based on the given properties of the quadrilateral ABCD, which of these is a valid conclusion?

 Quadrilateral ABCD must be a kite.

 Quadrilateral ABCD must be a square or a kite.

 Quadrilateral ABCD must be a square.

 Quadrilateral ABCD must be a square or a rhombus.
is it d?
@ganeshie8

nathan917 · Answer

D. Quadrilateral ABCD must be a square or a rhombus.

Yes you are correct. Great job.

anonymous · Answer

@amistre64

nathan917 · Answer

Since opposite sides are parallel, it must be a parallelogram. Since diagonals are perpendicular, it must be a rhombus or a square.

amistre64 · Answer

a rhombus is not always a square

amistre64 · Answer

but their diags are always perped

amistre64 · Answer

d should be fine