Geometry concept

[gmatwork]

Which quadrilaterals have opposite angles equal and for which quadrilaterals do diagonals bisect the vertex angles?

[tim]

if both pairs of opposite angles are congruent, it is a parallelogram; if only one pair is congruent, there is no specific name for such a quadrilateral..

if both diagonals bisect their respective vertex angles, you have a rhombus. if only one diagonal does this, it is called a kite..

[gmatwork]

do diagonals of a parallelogram bisect their respective vertex angles?

[tim]

only if that parallelogram is also a rhombus..